Question

Ax + by = a2 + b2 and x + y = a+b solve x and y

Answer 1

ax + by = a² + b²

x + y = a+b

y=a+b-x

ax+b(a+b-x)=a²+b²

ax+ab+b²-bx=(a-b)(a+b)

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

x+b=a+b

x=a

y=a+b-x

y=a+b-a

y=b