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

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Senior Manager
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If xy +z = x(y+z) which of the following must be true? A) [#permalink]  05 Nov 2006, 16:11
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

What is the a quick way to do this one?
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"Never let the fear of striking out get in your wayâ€

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Joined: 01 May 2006
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(E)

xy +z = x(y+z)
<=> xy + z = xy +xz
<=> z = xz

Implies that
o z=0 and x is any real number
or
o z is any real number and x=1
Senior Manager
Joined: 13 Sep 2006
Posts: 282
Location: New York
Followers: 1

Kudos [?]: 8 [0], given: 0

Thanks Fig for the great explanation!
_________________

"Never let the fear of striking out get in your wayâ€

SVP
Joined: 01 May 2006
Posts: 1798
Followers: 8

Kudos [?]: 102 [0], given: 0

U are welcome
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