solve the following system of equation in x and y a/x -b/y = 0 ab²/x + a²b/y = a²+b², where x, y is not equal to 0
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let a/x=A and b/y=B
equation first
A-B=0
equation second
A(b) square+B(a) square=(a) square+(b) square
by multiple (b) square in first equation
A(b) square-B(b) square=0
A(b) square+B(a) square=(a) square +(b) square
-B(b) square-B(a) square=-(a)square-(b) square
B=1
b/y=1
y=b
then a/x-b/y=0
a/x=1
x=a
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