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2x+2y=6z, 2x-2y=2z and y-z=0

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Manager
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S
Joined: 31 Oct 2013
Posts: 140
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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2x+2y=6z, 2x-2y=2z and y-z=0 [#permalink]

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New post 28 Jan 2018, 03:24
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A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

14% (01:31) correct 86% (00:47) wrong based on 37 sessions

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2x+2y=6z, 2x-2y=2z and y-z=0, how many unique solutions are there for y?

a)1
b)2
c)3
d)4
e) none of these

looking for easiest ways to deal with this typ question?

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Joined: 04 Jan 2018
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Re: 2x+2y=6z, 2x-2y=2z and y-z=0 [#permalink]

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New post 28 Jan 2018, 06:14
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selim wrote:
2x+2y=6z, 2x-2y=2z and y-z=0, how many unique solutions are there for y?

a)1
b)2
c)3
d)4
e) none of these

looking for easiest ways to deal with this typ question?


Answer is E

Infinite solutions actually.

let 2x+2y=6z-------------------(1)

2x-2y=2z-----------------------(2)

y=z------------------------------(3)


(1) + (2) =====> x=2z --------(4)

from 3 n 4 we can conclude that all the values are dependent on Z

So infinite unique values of y.

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Intern
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Joined: 22 Jan 2018
Posts: 5
Re: 2x+2y=6z, 2x-2y=2z and y-z=0 [#permalink]

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New post 30 Jan 2018, 02:01
selim wrote:
2x+2y=6z, 2x-2y=2z and y-z=0, how many unique solutions are there for y?

a)1
b)2
c)3
d)4
e) none of these

looking for easiest ways to deal with this typ question?



why should the solution be b?
the answer offers infinte solutions, since x=2z and y=z

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: 2x+2y=6z, 2x-2y=2z and y-z=0   [#permalink] 30 Jan 2018, 02:01
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