solve for x and y
(a-b)x+(a+b)y=a2-2ab-b2
(a+b)(x+y)a2+b2

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Solution

Given that (a-b) x + (a + b)y = a^2 - 2ab - b^2 -------------(1)
(a+b) x+ (a+b)y = a^2 + b^2 ------------------(2)
Substracting (2) from (1) we get
-2bx = -2ab - -2b^2
x = a + b
Subsitute x in equation (2) we get
y = - 2ab / ( a + b).

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