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

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Intern
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Joined: 31 Oct 2013
Posts: 10
2x+2y=6z, 2x-2y=2z and y-z=0 [#permalink]

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New post 28 Jan 2018, 02:24
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A
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E

Difficulty:

  75% (hard)

Question Stats:

14% (01:31) correct 86% (00:48) wrong based on 36 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?
[Reveal] Spoiler: OA
2 KUDOS received
Intern
Intern
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B
Joined: 04 Jan 2018
Posts: 30
Re: 2x+2y=6z, 2x-2y=2z and y-z=0 [#permalink]

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New post 28 Jan 2018, 05:14
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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.

--------------------------------------------------------
Dont stop till you get enough

Hit kudos if it helped you.
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Don't stop till you get enough

Hit kudos if it helped you.

Intern
Intern
avatar
B
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, 01:01
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
Re: 2x+2y=6z, 2x-2y=2z and y-z=0   [#permalink] 30 Jan 2018, 01:01
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2x+2y=6z, 2x-2y=2z and y-z=0

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