Question

ax + by = a²-b² and bx + ay = 0,then find the value of x + y​

Answer 1

ax+by=a2-b2....... (1)

bx+ay=0.......(2).

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

x(a+b)x+(a+b)y=a 2-b2

or, (a+b)(x+y)=a2-b2

or, x+y=a−b.