Question

solve for X and Y where X+Y=a-b, ax-by =a^2+ b^2

Answer 1

bx + by = ab - b²
ax - by = a² + b²

Adding, we get

(a+b) x = a(a+b)

x = a

Substitute x =a, we get

a² - by = a²+b²

y = - b

So, the solution is (a, - b)