Question

(a-b)x+(a+b)y=a^2-2ab-b^2 & (a+b) (x+y)=a^2+b^2

Answer 1

(a-b)x +(a+b)y =a^2+b^2-2ab ---(A)
(a+b)(x+y) =a^2+b^2-----(B)

(B)
ax+ay+bx+by=a^2+b^2

Hence
ax-bx+ay+by=ax+ay+bx+by-2ab

2bx=2ab

x=a

Therefore x=a
y=2a