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

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If xy +z = x(y+z) which of the following must be true? A) [#permalink] New post 05 Nov 2006, 17:11
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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 [#permalink] New post 05 Nov 2006, 17:17
(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
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 [#permalink] New post 05 Nov 2006, 17:26
Thanks Fig for the great explanation!
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 [#permalink] New post 06 Nov 2006, 01:54
U are welcome :)
  [#permalink] 06 Nov 2006, 01:54
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If xy +z = x(y+z) which of the following must be true? A)

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