Question

Solve the linear pair of equation
$(a - b)x + (a + b)y = {a}^{2} - 2ab - {b}^{2} \\ (a + b)(x + y) = {a}^{2} + {b}^{2}$
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Answer 1

Answer:

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

Ans.