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

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Director
Director
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Joined: 31 Oct 2013
Posts: 653
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
2x+2y=6z, 2x-2y=2z and y-z=0  [#permalink]

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New post 28 Jan 2018, 03:24
1
00:00
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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Intern
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Joined: 04 Jan 2018
Posts: 39
Re: 2x+2y=6z, 2x-2y=2z and y-z=0  [#permalink]

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New post 28 Jan 2018, 06:14
2
1
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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Don't stop till you get enough

Hit kudos if it helped you.

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 the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. 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.
GMAT Club Bot
Re: 2x+2y=6z, 2x-2y=2z and y-z=0 &nbs [#permalink] 30 Jan 2018, 02:01
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