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# This is problem 131 pg 93. If x and y are different

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This is problem 131 pg 93. If x and y are different [#permalink]  01 Aug 2004, 21:27
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This is problem 131 pg 93.

If x and y are different integers and x^2=xy, which of the following must be true?
1. x=0
2.y=0
3.x=-y

A. 1 only
B. 2 only
C.3 only
D.1 and 3 only
E. 1,2 and 3.
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Well, x^2 =xy
x(x-y)=0
so,
x=0
x=y
Now, it is said that x and y are different so x=0

So A is true,

Now to eliminate others,
y cannot be 0 as the equation only holds good when X is also 0. So 2 is not always true.
And x=-y is also not true for different values of x and y
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