solve for x and y (a-b) x+(a+b) y= a^2 -2ab -b^2, (a+b) (x+y) =a^2-b^2
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the answer must be x=a, y=-b
y(a+b)+x(a-b)=x^2 -2ab -y^2
and (a+b)(x+y)=a^2-b^2 .......(1)
from this expression we can written it as
x(a+b) +y(a+b)=a^2-b^2
by using this we get
x( a-b) =x(a+b)-2ab
x = a
and from equation 1 we get
x+y=a-b
y=-b (by putting x=a)
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