solve the following:

Question

ax + by = a-b
bx - ay = a+b
find the value of x and y

Answer 1

abx + b^2y = b(a-b)
abx - a^2y = a(a+b)

(b^2+a^2)y = -(a^2+b^2)
y = -1
similarly,
x = 1

Answer 2

This is not perfect solution