Finding the Solution to xy = x/y = x-y When y ≠ 0

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The equation xy = x/y = x - y is presented for analysis, with the condition that y cannot equal 0. The solution reveals that x is -1/2 and y is -1, which satisfies the equation. By verifying the calculations, it shows that y can be either +1 or -1, confirming the results. The discussion concludes with a successful resolution of the problem. The solution demonstrates that the values of x and y are consistent across the given equations.
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One of my friends asked me this, and I have no idea how to get the answer. I don't even know if there is an answer... if someone could help, that'd be great:

xy = x/y = x-y

If y cannot equal 0, what is the value of x and y?

Thanks :D
 
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Unless I goofed in the calculation, x is -1/2 and y is -1. Work out xy = x/y to see that y is either +1 or -1, then work out the subtraction.
 
Wow, it works! Thanks =)
 

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