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# If 3x – 3y = 12z, what is the value of x

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If 3x – 3y = 12z, what is the value of x [#permalink]

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19 Nov 2011, 12:24
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If 3x – 3y = 12z, what is the value of x?

(1) 4z = 2 + y

(2) 4z = 6 – y

can please someone explain this for me?
[Reveal] Spoiler: OA

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Re: If 3x – 3y = 12z, what is the value of x [#permalink]

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19 Nov 2011, 12:32
Using statement (1), we get an equation in x and y, which is insufficient to calculate the value of x without knowing the value of y.

Using statement (2), if 4z = 6 -y => 12z = 18 - 3y
Putting this value of z in the given equation, we get 3x - 3y = 12z = 18-3y
=> x = 18/3 = 6. Sufficient.

(B) it is.
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Re: If 3x – 3y = 12z, what is the value of x [#permalink]

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19 Nov 2011, 15:17
It is B. Also, it is even easier if you simplify what is given.
3x - 3y = 12z (divide all by 3) and you have: x - y = 4z.

Notice that both answer choices give you 4z = something. And you already have 4z given from above.

1) 4z = 2 + y. And from question stem x - y = 4z.

Thus, 2+y = x - y or x = 2 + 2y. Therefore, we cannot solve for x, since we don't know what y.
Insufficient.

2) 4z = 6 -y. Again equate this with the value of 4z from the question stem:

6 - y = x - y (add +y to both sides and x is simply 6).

hence 2 alone is Sufficient. Answer is B.

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Re: If 3x – 3y = 12z, what is the value of x [#permalink]

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20 Nov 2011, 01:35
manalq8 wrote:
If 3x – 3y = 12z, what is the value of x?

(1) 4z = 2 + y

(2) 4z = 6 – y

can please someone explain this for me?

Very easy and should be "B"

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Re: If 3x – 3y = 12z, what is the value of x [#permalink]

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21 Nov 2011, 20:14
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it is B. Made it little bit simpler by simplifying the question
3x - 3y = 12z
3x = 12z + 3y
x = 4z + y

(1) 4z = 2 + y . So substituting value of 4z in above equation => x = 2+ y + 2 . INSUFFICIENT as we do not know y.

(2) 4z = 6 - y.So substituting value of 4z in above equation => x = 6-y +y => x = 6. SUFFICIENT.
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Re: If 3x – 3y = 12z, what is the value of x [#permalink]

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23 Nov 2011, 08:43
Agree answer should be B. explantions above say why.

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Re: If 3x – 3y = 12z, what is the value of x [#permalink]

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23 Nov 2011, 15:20
thanks for the explanation
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Re: If 3x – 3y = 12z, what is the value of x [#permalink]

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27 Jul 2014, 21:31
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Re: If 3x – 3y = 12z, what is the value of x   [#permalink] 27 Jul 2014, 21:31
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