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# if xy+z=x(y+z), which of the following must be true? a.

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Manager
Joined: 09 Dec 2006
Posts: 98
Followers: 1

Kudos [?]: 11 [0], given: 0

if xy+z=x(y+z), which of the following must be true? a.  [#permalink]  19 Aug 2007, 08:45
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Question Stats:

100% (02:42) correct 0% (00:00) wrong based on 0 sessions
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
Senior Manager
Joined: 06 Mar 2006
Posts: 497
Followers: 7

Kudos [?]: 92 [0], given: 1

well, xy+z=x(y+z)
xy+z=xy+xz
z-xz=0
z(1-x)=0
z=0; x=1

VP
Joined: 09 Jul 2007
Posts: 1108
Location: London
Followers: 6

Kudos [?]: 76 [0], given: 0

Re: GMATPREP PS [#permalink]  19 Aug 2007, 09:00
Piter 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

It looks complicated, only thing u need is simplifying the equation.
xy+z=x(y+z)
xy+z=xy+xz
xy+z-xy-xz=0
z-xz=0
z(1-x)=0
z=0 and x=1

E
Intern
Joined: 31 Jul 2007
Posts: 38
Followers: 0

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

I believe this question is worded incorrectly... some of the answer choices should say OR not AND.

But, yes, straight E on this one.
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