If $x$ and $y$ are different integers and $x^2=xy$ which of the following must be true?

If $x$ and $y$ are different integers and $x^2=xy$ which of the following must be true?

I. $x=0$
II. $y=0$
III. $x=-y$

(A) l only
(B) II only
(C) III only
(D) I and III only
(E) I, II, and III

Answer: A

Source: Official Guide

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