Multiply both sides by x to give x^2 = xy
Subtract y^2 from both sides to give x^2-y^2 = xy- y^2
Factorize to give (x+y) (x-y) = y(x-y)
Divide both sides by (x-y) to give x+y = y
As x = y substitute x for y to give x+x = x
Divide both sides by x to give two = one
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