Question

X/a - y/b = 0 and ax + by = a2 + b2 . Solve for x and y

Answer 1

x/a-y/b =0 ------> 1
ax+by=a2+b2 -------> 2
therefore x = ya/b
substitute the value of x in 2
a [ya/b] + by =a2 +b2
ya2/b + by = a2 + b2
by doing LCM 
on LHS
ya2 + yb2 / b= a2 + b2 
y/b [ a2 + b2 ] = a2 + b2
B cancelling a2 +b2
we get , y=b and x= a