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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

\(x^2=xy\) --> \(x(x-y)=0\) --> either \(x=0\) or \(x=y\) but as given that \(x\) and \(y\) are different numbers than the second option is out and we have: \(x=0\). So only I is always true (in fact because of the same reason that \(x\) and \(y\) are different numbers II and III are never 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

\(x^2=xy\) --> \(x(x-y)=0\) --> either \(x=0\) or \(x=y\) but as given that \(x\) and \(y\) are different numbers than the second option is out and we have: \(x=0\). So only I is always true (in fact because of the same reason that \(x\) and \(y\) are different numbers II and III are never true).

Re: If x and y are different integers and x^2 = xy, which of the [#permalink]

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28 Sep 2015, 20:11

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