Question

If ax + by = a2 and bx + ay = 0, find the value of x and y.

Answer 1

Given,

ax+by=a² −b² ____(1)

bx+ay=0 ____(2).

Now adding (1) and (2) we get,

x(a+b)x+(a+b)y=a² −b²

or, (a+b)(x+y)=a² −b²

or, x+y=a−b.