{"id":5059,"date":"2022-10-14T11:30:15","date_gmt":"2022-10-14T11:30:15","guid":{"rendered":"https:\/\/www.studyzonebd.com\/math\/?p=5059"},"modified":"2022-10-14T14:35:10","modified_gmt":"2022-10-14T14:35:10","slug":"class-8-chapter-6-lesson-6-1","status":"publish","type":"post","link":"https:\/\/www.studyzonebd.com\/math\/class-8-chapter-6-lesson-6-1\/","title":{"rendered":"\u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ec.\u09e7 | \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf"},"content":{"rendered":"\n

\u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09ac\u0987 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 | Class Eight (08) Math <\/a>Book Solution | Chapter <\/a>06 : Simple co-equation| Class 8 math book Online Solution in Bangla (BD)<\/p>\n\n\n\n

\u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ec.\u09e7 – PDF<\/a><\/h4>\n\n\n\n

\u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ec.\u09e7 \u098f\u09b0 \u09b8\u0995\u09b2 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u0989\u09a4\u09cd\u09a4\u09b0 \u098f\u0996\u09be\u09a8\u09c7 \u09b0\u09df\u09c7\u099b\u09c7\u0964 \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u0997\u09a3\u09bf\u09a4 \u09ac\u0987 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/p>\n\n\n\n

\u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf\u09b0 \u0997\u09a3\u09bf\u09a4 \u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ec.\u09e7 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u09b8\u09ae\u09be\u09a7\u09be\u09a8<\/strong><\/span><\/h4>\n\n\n\n

\u09b8\u09b0\u09b2 \u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 (\u09aa\u09cd\u09b0\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf):<\/strong><\/p>\n\n\n\n

(\u0995) \u09aa\u09cd\u09b0\u09a4\u09bf\u09b8\u09cd\u09a5\u09be\u09aa\u09a8 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09a4\u09c7 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0 (\u09e7-\u09e7\u09e8):<\/strong><\/h4>\n\n\n\n

\u09e7.<\/strong><\/p>\n\n\n\n

x+y=4<\/strong><\/p>\n\n\n\n

x-y=2<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

x+y=4\u2026\u2026\u2026(i)<\/p>\n\n\n\n

x-y=2\u2026\u2026\u2026..(ii)<\/p>\n\n\n\n

(ii) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

x=2+y\u2026\u2026.(iii)<\/p>\n\n\n\n

\u098f\u0996\u09a8, x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

2+y+y=4<\/p>\n\n\n\n

\u09ac\u09be,  2+2y=4<\/p>\n\n\n\n

\u09ac\u09be,  2(1+y)=4<\/p>\n\n\n\n

\u09ac\u09be,  1+y=4\/2<\/p>\n\n\n\n

\u09ac\u09be,  1+y=2<\/p>\n\n\n\n

\u09ac\u09be,  y=2-1<\/p>\n\n\n\n

\u09ac\u09be,  y=1<\/p>\n\n\n\n

\u098f\u0996\u09a8 y \u098f\u09b0 \u09ae\u09be\u09a8 (iii) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

x=2+1<\/p>\n\n\n\n

\u09ac\u09be,  x=3<\/p>\n\n\n\n

\u2234 (x,y)=(3,1)<\/a><\/p>\n\n\n\n

\u09e8.<\/strong><\/p>\n\n\n\n

2x+y=5<\/strong><\/p>\n\n\n\n

x-y=1<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

2x+y=5\u2026\u2026.(i)<\/p>\n\n\n\n

x-y=1\u2026\u2026.(ii)<\/p>\n\n\n\n

(ii) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

x=1+y\u2026\u2026.(iii)<\/p>\n\n\n\n

\u098f\u0996\u09a8, x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

2(1+y)+y=5<\/p>\n\n\n\n

\u09ac\u09be,  2+2y+y=5<\/p>\n\n\n\n

\u09ac\u09be,  2+3y=5<\/p>\n\n\n\n

\u09ac\u09be,  3y=5-2<\/p>\n\n\n\n

\u09ac\u09be,  3y=3<\/p>\n\n\n\n

\u09ac\u09be,  y=3\/3<\/p>\n\n\n\n

\u09ac\u09be,  y=1<\/p>\n\n\n\n

\u098f\u0996\u09a8 y \u098f\u09b0 \u09ae\u09be\u09a8 (iii) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

x=1+1<\/p>\n\n\n\n

\u09ac\u09be,  x=2<\/p>\n\n\n\n

\u2234 (x,y)=(2,1)<\/p>\n\n\n\n

\u09e9.<\/strong><\/p>\n\n\n\n

3x+2y=10<\/strong><\/p>\n\n\n\n

x-y=0<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

3x+2y=10\u2026\u2026(i)<\/p>\n\n\n\n

x-y=0\u2026\u2026\u2026.(ii)<\/p>\n\n\n\n

(ii) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

x=y\u2026\u2026.(iii)<\/p>\n\n\n\n

\u098f\u0996\u09a8, x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987<\/p>\n\n\n\n

3y+2y=10<\/p>\n\n\n\n

\u09ac\u09be,  5y=10<\/p>\n\n\n\n

\u09ac\u09be,  y=10\/5<\/p>\n\n\n\n

\u09ac\u09be,  y=2<\/p>\n\n\n\n

\u098f\u0996\u09a8 y \u098f\u09b0 \u09ae\u09be\u09a8 (iii) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

x=2<\/p>\n\n\n\n

\u2234\u00a0(x,y)=(2,2)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

\u09eb.<\/strong><\/p>\n\n\n\n

3x-2y=0<\/strong><\/p>\n\n\n\n

17x-7y=13<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

3x-2y=0\u2026\u2026\u2026\u2026(i)<\/p>\n\n\n\n

17x-7y=13\u2026\u2026\u2026.(ii)<\/p>\n\n\n\n

(ii) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

17x=13+7y<\/p>\n\n\n\n

         13+7y<\/p>\n\n\n\n

\u09ac\u09be, x=————\u2026\u2026.(iii)<\/p>\n\n\n\n

           17<\/p>\n\n\n\n

\u098f\u0996\u09a8, x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987<\/p>\n\n\n\n

        13+7y<\/p>\n\n\n\n

3\u2715———— – 2y=0<\/p>\n\n\n\n

          17<\/p>\n\n\n\n

      3(13+7y)-17.2y<\/p>\n\n\n\n

\u09ac\u09be, ———————– = 0<\/p>\n\n\n\n

           17<\/p>\n\n\n\n

\u09ac\u09be,  39+21y-34y=0<\/p>\n\n\n\n

\u09ac\u09be,  39-13y=0<\/p>\n\n\n\n

\u09ac\u09be,  -13y=-39<\/p>\n\n\n\n

\u09ac\u09be,  13y=39<\/p>\n\n\n\n

\u09ac\u09be,  y=39\/13<\/p>\n\n\n\n

\u09ac\u09be,  y=3<\/p>\n\n\n\n

\u098f\u0996\u09a8 y \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987<\/p>\n\n\n\n

3x-2.3=0<\/p>\n\n\n\n

\u09ac\u09be,  3x-6=0<\/p>\n\n\n\n

\u09ac\u09be,  3x=6<\/p>\n\n\n\n

\u09ac\u09be,  x=6\/3<\/p>\n\n\n\n

\u09ac\u09be,  x=2<\/p>\n\n\n\n

\u2234 (x,y)=(2,3)<\/p>\n\n\n\n

\u09ec.<\/strong><\/p>\n\n\n\n

x-y=2a<\/strong><\/p>\n\n\n\n

ax+by=a2<\/sup>+b2<\/sup><\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/p>\n\n\n\n

x-y=2a\u2026\u2026\u2026\u2026\u2026..(i)<\/p>\n\n\n\n

ax+by=a2<\/sup>+b2<\/sup>\u2026\u2026\u2026\u2026(ii)<\/p>\n\n\n\n

(i) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

x=2a+y\u2026\u2026.(iii)<\/p>\n\n\n\n

\u098f\u0996\u09a8, x \u098f\u09b0 \u09ae\u09be\u09a8 (ii) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

a(2a+y)+by=a2<\/sup>+b2<\/sup><\/p>\n\n\n\n

\u09ac\u09be,  2a2<\/sup>+ay+by-a2<\/sup>-b2<\/sup>=0<\/p>\n\n\n\n

\u09ac\u09be,  a2<\/sup>-b2<\/sup>+ay+by=0<\/p>\n\n\n\n

\u09ac\u09be,  ay+by=b2<\/sup>-a2<\/sup><\/p>\n\n\n\n

\u09ac\u09be,  y(a+b)=(b-a)(b+a)<\/p>\n\n\n\n

\u09ac\u09be,  y=b-a<\/p>\n\n\n\n

\u098f\u0996\u09a8 y \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987<\/p>\n\n\n\n

x-(b-a)=2a<\/p>\n\n\n\n

\u09ac\u09be,  x=2a+b-a<\/p>\n\n\n\n

\u09ac\u09be,  x=a+b<\/p>\n\n\n\n

\u2234 (x,y)=(a+b, b-a)<\/p>\n\n\n\n

\u09ed.<\/strong><\/p>\n\n\n\n

ax+by=ab<\/strong><\/p>\n\n\n\n

bx+ay=ab<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

ax+by=ab\u2026\u2026.(i)<\/p>\n\n\n\n

bx+ay=ab\u2026\u2026..(ii)<\/p>\n\n\n\n

(i), (ii) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

ax+by=bx+ay<\/p>\n\n\n\n

\u09ac\u09be,  ax-bx=ay-by<\/p>\n\n\n\n

\u09ac\u09be,  x(a-b)=y(a-b)<\/p>\n\n\n\n

\u09ac\u09be,  x=y\u2026\u2026\u2026\u2026\u2026..(iii)<\/p>\n\n\n\n

\u098f\u0996\u09a8 x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

ay+by=ab<\/p>\n\n\n\n

\u09ac\u09be,  y(a+b)=ab<\/p>\n\n\n\n

             ab<\/p>\n\n\n\n

\u09ac\u09be,  y=———–<\/p>\n\n\n\n

             a+b<\/p>\n\n\n\n

\u098f\u0996\u09a8, x=y<\/p>\n\n\n\n


\u2234 (x,y)<\/td>
=<\/td>		(<\/td>\u00a0ab
——–,
a+b<\/td>		\u00a0\u00a0ab
——–\u00a0
a+b<\/td>		)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u09ee.<\/strong><\/p>\n\n\n\n

ax-by=ab<\/strong><\/p>\n\n\n\n

bx-ay=ab<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

ax-by=ab\u2026\u2026\u2026(i)<\/p>\n\n\n\n

bx-ay=ab\u2026\u2026\u2026.(ii)<\/p>\n\n\n\n

(i), (ii) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

ax-by= bx-ay<\/p>\n\n\n\n

\u09ac\u09be,  ax-bx=-ay+by<\/p>\n\n\n\n

\u09ac\u09be,  x(a-b)=-y(a-b)<\/p>\n\n\n\n

\u09ac\u09be,  x=-y\u2026\u2026\u2026.(iii)<\/p>\n\n\n\n

\u098f\u0996\u09a8 x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

a(-y)-by=ab<\/p>\n\n\n\n

\u09ac\u09be,  -ay-by=ab<\/p>\n\n\n\n

\u09ac\u09be,  -y(a+b)=ab<\/p>\n\n\n\n

\u09ac\u09be,  y(a+b)=-ab<\/p>\n\n\n\n

             -ab<\/p>\n\n\n\n

\u09ac\u09be,  y=———–<\/p>\n\n\n\n

             a+b<\/p>\n\n\n\n

y \u098f\u09b0 \u09ae\u09be\u09a8 (iii) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

        ab<\/p>\n\n\n\n

x =———–<\/p>\n\n\n\n

       a+b<\/p>\n\n\n\n


\u2234 (x,y)<\/td>
=<\/td>		(<\/td>\u00a0ab
——–,
a+b<\/td>		\u00a0– ab
——–\u00a0
a+b<\/td>		)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u09ef.<\/strong><\/p>\n\n\n\n

ax-by=a-b<\/strong><\/p>\n\n\n\n

ax+by=a+b<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

ax-by=a-b\u2026\u2026\u2026\u2026(i)<\/p>\n\n\n\n

ax+by=a+b\u2026\u2026\u2026.(ii)<\/p>\n\n\n\n

(i) \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

ax=a-b-by<\/p>\n\n\n\n

           a-b-by<\/p>\n\n\n\n

\u09ac\u09be, x=————–\u2026\u2026(iii)<\/p>\n\n\n\n

              a<\/p>\n\n\n\n

\u098f\u0996\u09a8 x \u098f\u09b0 \u09ae\u09be\u09a8 (ii) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

    a-b+by<\/p>\n\n\n\n

a.————-+by=a+b<\/p>\n\n\n\n

       a<\/p>\n\n\n\n

\u09ac\u09be,  a-b+by+by=a+b<\/p>\n\n\n\n

\u09ac\u09be,  2by=a+b-a+b<\/p>\n\n\n\n

\u09ac\u09be,  2by=2b<\/p>\n\n\n\n

\u09ac\u09be,  2y=2<\/p>\n\n\n\n

\u09ac\u09be,  y=2\/2<\/p>\n\n\n\n

\u09ac\u09be,  y=1<\/p>\n\n\n\n

\u098f\u0996\u09a8 y \u098f\u09b0 \u09ae\u09be\u09a8 (iii) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

     a-b-b.1<\/p>\n\n\n\n

x=————–<\/p>\n\n\n\n

        a<\/p>\n\n\n\n

\u09ac\u09be,  ax=a-b-b<\/p>\n\n\n\n

\u09ac\u09be,  ax=a<\/p>\n\n\n\n

\u09ac\u09be,  x=a\/a<\/p>\n\n\n\n

\u09ac\u09be,  x=1<\/p>\n\n\n\n

\u2234 (x,y)=(1, 1)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

(\u0996) \u0985\u09aa\u09a8\u09af\u09bc\u09a8 \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09a4\u09c7 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 \u0995\u09b0 (\u09e7\u09e9-\u09e8\u09ec):<\/strong><\/h4>\n\n\n\n

\u09e7\u09e9.<\/strong><\/p>\n\n\n\n

x-y=4<\/strong><\/p>\n\n\n\n

x+y=6<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

x-y=4\u2026\u2026\u2026(i)<\/p>\n\n\n\n

x+y=6\u2026\u2026\u2026..(ii)<\/span><\/p>\n\n\n\n

2x\u00a0\u00a0\u00a0=10\u00a0\u00a0(\u09af\u09cb\u0997 \u0995\u09b0\u09c7)<\/p>\n\n\n\n

\u09ac\u09be,  x=10\/2<\/p>\n\n\n\n

\u09ac\u09be,  x=5<\/p>\n\n\n\n

x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

5-y=4<\/p>\n\n\n\n

\u09ac\u09be,  -y=4-5<\/p>\n\n\n\n

\u09ac\u09be,  -y=-1<\/p>\n\n\n\n

\u09ac\u09be,  y=1<\/p>\n\n\n\n

\u2234 (x,y)=(5,1)<\/a><\/p>\n\n\n\n

\u09e7\u09ea.<\/strong><\/p>\n\n\n\n

2x+3y=7<\/strong><\/p>\n\n\n\n

6x-7y=5<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

2x+3y=7\u2026\u2026\u2026..(i)<\/p>\n\n\n\n

6x-7y=5\u2026\u2026\u2026\u2026(ii)<\/p>\n\n\n\n

(i) \u09a8\u0982 \u0995\u09c7 3 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0993 (ii) \u09a8\u0982 \u0995\u09c7 1 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09c1\u09a3 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

6x+9y=21\u2026\u2026\u2026..(iii)<\/p>\n\n\n\n

6x-7y=5\u2026\u2026\u2026\u2026(iv)<\/span><\/p>\n\n\n\n

16y=16\u00a0\u00a0(\u09ac\u09bf\u09df\u09cb\u0997 \u0995\u09b0\u09c7)<\/p>\n\n\n\n

\u09ac\u09be,  y=16\/16<\/p>\n\n\n\n

\u09ac\u09be,  y=1<\/p>\n\n\n\n

y \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

2x+3.1=7<\/p>\n\n\n\n

\u09ac\u09be,  2x+3=7<\/p>\n\n\n\n

\u09ac\u09be,  2x=7-3<\/p>\n\n\n\n

\u09ac\u09be,  2x=4<\/p>\n\n\n\n

\u09ac\u09be,  x=4\/2<\/p>\n\n\n\n

\u09ac\u09be,  x=2<\/p>\n\n\n\n

\u2234 (x,y)=(2,1)<\/p>\n\n\n\n

\u09e7\u09eb.<\/strong><\/p>\n\n\n\n

4x+3y=15<\/strong><\/p>\n\n\n\n

5x+4y=19<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

4x+3y=15\u2026\u2026\u2026..(i)<\/p>\n\n\n\n

5x+4y=19\u2026\u2026\u2026\u2026(ii)<\/p>\n\n\n\n

(i) \u09a8\u0982 \u0995\u09c7 4 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0993 (ii) \u09a8\u0982 \u0995\u09c7 3 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09c1\u09a3 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

16x+12y=60<\/p>\n\n\n\n

15x+12y=57<\/span><\/p>\n\n\n\n

x = 3\u00a0\u00a0\u00a0\u00a0\u00a0(\u09ac\u09bf\u09df\u09cb\u0997 \u0995\u09b0\u09c7)<\/p>\n\n\n\n

x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

4.3+3y=15<\/p>\n\n\n\n

\u09ac\u09be,  12+3y=15<\/p>\n\n\n\n

\u09ac\u09be,  3y=15-12<\/p>\n\n\n\n

\u09ac\u09be,  3y=3<\/p>\n\n\n\n

\u09ac\u09be,  y=3\/3<\/p>\n\n\n\n

\u09ac\u09be,  y=1<\/p>\n\n\n\n

\u2234 (x,y)=(3,1)<\/p>\n\n\n\n

\u09e7\u09ec.<\/strong><\/p>\n\n\n\n

3x-2y=5<\/strong><\/p>\n\n\n\n

2x+3y=12<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

3x-2y=5\u2026\u2026\u2026\u2026\u2026..(i)<\/p>\n\n\n\n

2x+3y=12\u2026\u2026\u2026\u2026\u2026..(ii)<\/p>\n\n\n\n

(i) \u09a8\u0982 \u0995\u09c7 3 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0993 (ii) \u09a8\u0982 \u0995\u09c7 2 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09c1\u09a3 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

9x-6y=15<\/p>\n\n\n\n

4x+6y=24<\/span><\/p>\n\n\n\n

13x=39\u00a0\u00a0\u00a0(\u09af\u09cb\u0997 \u0995\u09b0\u09c7)<\/p>\n\n\n\n

\u09ac\u09be,  x=39\/13<\/p>\n\n\n\n

\u09ac\u09be,  x=3<\/p>\n\n\n\n

x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

3.3-2y=5<\/p>\n\n\n\n

\u09ac\u09be,  9-2y=5<\/p>\n\n\n\n

\u09ac\u09be,  -2y=5-9<\/p>\n\n\n\n

\u09ac\u09be,  -2y=-4<\/p>\n\n\n\n

\u09ac\u09be,  2y=4<\/p>\n\n\n\n

\u09ac\u09be,  y=4\/2<\/p>\n\n\n\n

\u09ac\u09be,  y=2<\/p>\n\n\n\n

\u2234 (x,y)=(3,2)<\/p>\n\n\n\n

\u09e7\u09ed.<\/strong><\/p>\n\n\n\n

4x-3y=-1<\/strong><\/p>\n\n\n\n

3x-2y=0<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

4x-3y=-1\u2026\u2026\u2026\u2026..(i)<\/p>\n\n\n\n

3x-2y=0\u2026\u2026\u2026\u2026\u2026\u2026.(ii)<\/p>\n\n\n\n

(i) \u09a8\u0982 \u0995\u09c7 2 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0993 (ii) \u09a8\u0982 \u0995\u09c7 3 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09c1\u09a3 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

8x-6y=-2<\/p>\n\n\n\n

9x-6y=0<\/span><\/p>\n\n\n\n

-x=-2 (\u09ac\u09bf\u09df\u09cb\u0997 \u0995\u09b0\u09c7)<\/p>\n\n\n\n

\u09ac\u09be,  x=2<\/p>\n\n\n\n

x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

4.2-3y=-1<\/p>\n\n\n\n

\u09ac\u09be,  8-3y=-1<\/p>\n\n\n\n

\u09ac\u09be,  -3y=-1-8<\/p>\n\n\n\n

\u09ac\u09be,  -3y=-9<\/p>\n\n\n\n

\u09ac\u09be,  3y=9<\/p>\n\n\n\n

\u09ac\u09be,  y=9\/3<\/p>\n\n\n\n

\u09ac\u09be,  y=3<\/p>\n\n\n\n

\u2234 (x,y)=(2,3)<\/p>\n\n\n\n

\u09e7\u09ee.<\/strong><\/p>\n\n\n\n

3x-5y=-9<\/strong><\/p>\n\n\n\n

5x-3y=1<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

3x-5y=-9\u2026\u2026\u2026.(i)<\/p>\n\n\n\n

5x-3y=1\u2026\u2026\u2026..(ii)<\/p>\n\n\n\n

(i) \u09a8\u0982 \u0995\u09c7 3 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0993 (ii) \u09a8\u0982 \u0995\u09c7 5 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09c1\u09a3 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

9x-15y=-27<\/p>\n\n\n\n

25x-15y=5<\/span><\/p>\n\n\n\n

-16x=-32\u00a0\u00a0\u00a0(\u09ac\u09bf\u09df\u09cb\u0997 \u0995\u09b0\u09c7)<\/p>\n\n\n\n

\u09ac\u09be,  16x=32<\/p>\n\n\n\n

\u09ac\u09be,  x=32\/16<\/p>\n\n\n\n

\u09ac\u09be,  x=2<\/p>\n\n\n\n

x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

3.2-5y=-9<\/p>\n\n\n\n

\u09ac\u09be,  6-5y=-9<\/p>\n\n\n\n

\u09ac\u09be,  -5y=-9-6<\/p>\n\n\n\n

\u09ac\u09be,  -5y=-15<\/p>\n\n\n\n

\u09ac\u09be,  5y=15<\/p>\n\n\n\n

\u09ac\u09be,  y=15\/5<\/p>\n\n\n\n

\u09ac\u09be,  y=3<\/p>\n\n\n\n

\u2234\u00a0(x,y)=(2,3)<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

\u09e8\u09e6.<\/strong><\/p>\n\n\n\n

x+ay=b<\/strong><\/p>\n\n\n\n

ax-by=c<\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

x+ay=b\u2026\u2026\u2026..(i)<\/p>\n\n\n\n

ax-by=c\u2026\u2026\u2026..(ii)<\/p>\n\n\n\n

(i) \u09a8\u0982 \u0995\u09c7 a \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0993 (ii) \u09a8\u0982 \u0995\u09c7 1 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09c1\u09a3 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

ax+a2<\/sup>y=ab<\/p>\n\n\n\n

ax-by=c<\/p>\n\n\n\n

———————————<\/p>\n\n\n\n

a2<\/sup>y+by=ab-c  (- \u0995\u09b0\u09c7)<\/p>\n\n\n\n

\u09ac\u09be,  y(a2<\/sup>+b)=ab-c<\/p>\n\n\n\n

           ab-c<\/p>\n\n\n\n

\u09ac\u09be, y=————-<\/p>\n\n\n\n

            a2<\/sup>+b<\/p>\n\n\n\n

y \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

         ab-c<\/p>\n\n\n\n

x+a————= b<\/p>\n\n\n\n

        a2<\/sup>+b<\/p>\n\n\n\n

       x(a2<\/sup>+b)+a(ab-c)<\/p>\n\n\n\n

\u09ac\u09be, ————————— = b<\/p>\n\n\n\n

             a2<\/sup>+b<\/p>\n\n\n\n

\u09ac\u09be,  x(a2<\/sup>+b)+a(ab-c)=b(a2<\/sup>+b)<\/p>\n\n\n\n

\u09ac\u09be,  x(a2<\/sup>+b)= b(a2<\/sup>+b)- a(ab-c)<\/p>\n\n\n\n

\u09ac\u09be,  x(a2<\/sup>+b)= ba2<\/sup>+b2<\/sup>-a2<\/sup>b+ac<\/p>\n\n\n\n

\u09ac\u09be,  x(a2<\/sup>+b)= b2<\/sup>+ac<\/p>\n\n\n\n

          b2<\/sup>+ac<\/p>\n\n\n\n

\u09ac\u09be, x=———–<\/p>\n\n\n\n

           a2<\/sup>+b<\/p>\n\n\n\n


\u2234 (x,y)=<\/td>
(<\/td>		b2<\/sup>+ac
———,\u00a0\u00a0\u00a0
a2<\/sup>+b<\/td>		ab-c
———-\u00a0\u00a0\u00a0
a2<\/sup>+b<\/td>
)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
<\/div>\n\n\n\n

\u09e8\u09ec.<\/strong><\/p>\n\n\n\n

x+y=a-b<\/strong><\/p>\n\n\n\n

ax-by=a2<\/sup>+b2<\/sup><\/strong><\/p>\n\n\n\n

\u09b8\u09ae\u09be\u09a7\u09be\u09a8\u0983<\/strong><\/p>\n\n\n\n

x+y=a-b\u2026\u2026\u2026\u2026.(i)<\/p>\n\n\n\n

ax-by=a2<\/sup>+b2<\/sup>\u2026\u2026\u2026(ii)<\/p>\n\n\n\n

(i) \u09a8\u0982 \u0995\u09c7 b \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0993 (ii) \u09a8\u0982 \u0995\u09c7 1 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u0997\u09c1\u09a3 \u0995\u09b0\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

bx+by=ab-b2<\/sup><\/p>\n\n\n\n

ax-by=a2<\/sup>+b2<\/sup><\/span><\/p>\n\n\n\n

bx+ax=ab-b2<\/sup>+a2<\/sup>+b2<\/sup>\u00a0\u00a0\u00a0(\u09af\u09cb\u0997 \u0995\u09b0\u09c7)<\/p>\n\n\n\n

\u09ac\u09be,  x(a+b)=ab+a2<\/sup><\/p>\n\n\n\n

\u09ac\u09be,  x(a+b)=a(b+a)<\/p>\n\n\n\n

\u09ac\u09be,  x = a<\/p>\n\n\n\n

x \u098f\u09b0 \u09ae\u09be\u09a8 (i) \u09a8\u0982 \u098f \u09ac\u09b8\u09bf\u09af\u09bc\u09c7 \u09aa\u09be\u0987,<\/p>\n\n\n\n

a+y=a-b<\/p>\n\n\n\n

\u09ac\u09be,  y=a-b-a<\/p>\n\n\n\n

\u09ac\u09be,  y=-b<\/p>\n\n\n\n

\u2234 (x,y)=(a,-b)<\/p>\n\n\n\n

\n\n\n\n
Class 8 math book all chapter solution Bangla version pdf | \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09ac\u0987 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 PDF<\/td><\/tr>
Download<\/a><\/div><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
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tags: <\/em>Bangladesh, Bangla, Bengali, Class 8\/jsc math solution 2021 pdf, 8th class maths guide pdf free download, math book solution BD, class 8 srijonshil math, Chapter 6.1 \u09b8\u09b0\u09b2 \u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3\n<\/pre>\n","protected":false},"excerpt":{"rendered":"
\u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09ac\u0987 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 | Class Eight (08) Math Book Solution | Chapter 06 : Simple co-equation| Class 8 math book Online Solution in Bangla (BD) \u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ec.\u09e7 – PDF \u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ec.\u09e7 \u098f\u09b0 \u09b8\u0995\u09b2 \u09aa\u09cd\u09b0\u09b6\u09cd\u09a8 \u0993 \u0989\u09a4\u09cd\u09a4\u09b0 \u098f\u0996\u09be\u09a8\u09c7 \u09b0\u09df\u09c7\u099b\u09c7\u0964 \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf […]<\/p>\n","protected":false},"author":1,"featured_media":4919,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[36],"tags":[37,38],"class_list":["post-5059","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-class-eight-8","tag-class-8","tag-class-eight"],"yoast_head":"\n\u09ec\u09b7\u09cd\u09a0 \u0985\u09a7\u09cd\u09af\u09be\u09df\u0983 \u09b8\u09b0\u09b2\u00a0\u09b8\u09b9-\u09b8\u09ae\u09c0\u0995\u09b0\u09a3 | \u0985\u09a8\u09c1\u09b6\u09c0\u09b2\u09a8\u09c0 \u09ec.\u09e7 | \u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf - Study Zone BD<\/title>\n<meta name=\"description\" content=\"\u09ee\u09ae \u09b6\u09cd\u09b0\u09c7\u09a3\u09bf \u0997\u09a3\u09bf\u09a4 \u09ac\u0987 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u09b8\u09ae\u09be\u09a7\u09be\u09a8 | Class Eight (08) Math Book Solution. 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