112. Solve (a – b)x+(a+b)y=a’ – 2ab-b’ and (a+b)(x+ y) =a2 +b2​

1 thought on “112. Solve (a – b)x+(a+b)y=a’ – 2ab-b’ and (a+b)(x+ y) =a2 +b2​”

1. Answer:

   a−b)x+(a+b)y=a

   2

   −2ab−b

   2

   —– (i)

   (a+b)(x+y)=a

   2

   +b

   2

   ——– (ii)

   Subtracting eq (i) by eq (ii), we get.

   ⇒(a−b)x−(a+b)x=a

   2

   −2ab−b

   2

   −a

   2

   −b

   2

   ⇒−2bx=−2bx(a+b)

   ⇒x=(a+b)

   ∴(a+b)(a+b+y)=a

   2

   +b

   2

   ⇒(a+b)

   2

   +(a+b)y=a

   2

   +b

   2

   ⇒y=

   a+b

   −2ab

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