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If xy + z = x(y+z), which of the following must be true? A.

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Director
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If xy + z = x(y+z), which of the following must be true? A. [#permalink] New post 18 May 2008, 17:14
If xy + z = x(y+z), which of the following must be true?

A. x = 0 and z = 0
B. x = 1 and y = 1
C. y = 1 and z = 0
D. x = 1 OR y = 0
E. x = 1 OR z = 0

My bad, botch the data entry on this one....should have ORs.

Last edited by jimmyjamesdonkey on 18 May 2008, 18:15, edited 1 time in total.
Director
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Re: GMATPrep [#permalink] New post 18 May 2008, 17:18
jimmyjamesdonkey wrote:
If xy + z = x(y+z), which of the following must be true?

A. x = 0 and z = 0
B. x = 1 and y = 1
C. y = 1 and z = 0
D. x = 1 and y = 0
E. x = 1 and z = 0



xy + z = xy + xz ----> z = xz

the y is not important, so eliminate b,c,d

I think choice E should be "OR" instead of "AND"

E
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Re: GMATPrep [#permalink] New post 18 May 2008, 17:48
why not B ?

if x=1 and y=1, then xy+z = 1+z and x(y+z) = xy+xz = 1 +z
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Re: GMATPrep [#permalink] New post 18 May 2008, 17:56
pmenon wrote:
why not B ?

if x=1 and y=1, then xy+z = 1+z and x(y+z) = xy+xz = 1 +z



A, B, and E are all correct according to the answer choices.

BUT the original poster did not post the correct answer choices from the real test. There should some "OR"s in the answer choices.
Re: GMATPrep   [#permalink] 18 May 2008, 17:56
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If xy + z = x(y+z), which of the following must be true? A.

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