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

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Manager
Manager
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Joined: 09 Dec 2006
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if xy+z=x(y+z), which of the following must be true? a.  [#permalink] New post 19 Aug 2007, 08:45
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (02:42) correct 0% (00:00) wrong based on 0 sessions
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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
Senior Manager
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 [#permalink] New post 19 Aug 2007, 08:51
well, xy+z=x(y+z)
xy+z=xy+xz
z-xz=0
z(1-x)=0
z=0; x=1

Answer E
VP
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Re: GMATPREP PS [#permalink] New post 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
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 [#permalink] New post 19 Aug 2007, 09:55
I believe this question is worded incorrectly... some of the answer choices should say OR not AND.

But, yes, straight E on this one.
  [#permalink] 19 Aug 2007, 09:55
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if xy+z=x(y+z), which of the following must be true? a.

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