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# If x = 3(2y - x), then what is the value of y in terms of x ?

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Joined: 02 Sep 2009
Posts: 58347
If x = 3(2y - x), then what is the value of y in terms of x ?  [#permalink]

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15 Jan 2018, 06:21
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98% (00:45) correct 2% (01:22) wrong based on 65 sessions

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If x = 3(2y - x), then what is the value of y in terms of x ?

(A) x/3
(B) x/6
(C) 2x/3
(D) 3x
(E) 6x

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Re: If x = 3(2y - x), then what is the value of y in terms of x ?  [#permalink]

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15 Jan 2018, 08:13
Bunuel wrote:
If x = 3(2y - x), then what is the value of y in terms of x ?

(A) x/3
(B) x/6
(C) 2x/3
(D) 3x
(E) 6x

x = 3(2y - x)

rearranging,

x = 6y - 3x

x+3x = 6y

6y = 4x

y = 2x/3

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If x = 3(2y - x), then what is the value of y in terms of x ?  [#permalink]

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15 Jan 2018, 09:19
Bunuel wrote:
If x = 3(2y - x), then what is the value of y in terms of x ?

(A) x/3
(B) x/6
(C) 2x/3
(D) 3x
(E) 6x

substitution...
let x = 3..
$$x = 3(2y - x)........ 3 = 3(2y - 3)........... 1=2y-3........2y=4........y=2$$

test choices...
ONLY 2x/3 gives 2 as answer
$$\frac{2x}{3}=\frac{2*3}{3}=2$$
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Re: If x = 3(2y - x), then what is the value of y in terms of x ?  [#permalink]

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15 Jan 2018, 09:37
Bunuel wrote:
If x = 3(2y - x), then what is the value of y in terms of x ?

(A) x/3
(B) x/6
(C) 2x/3
(D) 3x
(E) 6x

$$x = 6y - 3x$$

Or, $$4x = 6y$$

So, $$2x = 3y$$

Thus, $$y = \frac{2x}{3}$$, hence answer will be (C)
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Re: If x = 3(2y - x), then what is the value of y in terms of x ?  [#permalink]

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20 Jan 2018, 22:27
X = 3(2Y - X)
X = 6Y - 3X
4X = 6Y

Hence, Y = (4/6)X = (2/3)X
Option C is the answer.
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Re: If x = 3(2y - x), then what is the value of y in terms of x ?  [#permalink]

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19 Mar 2018, 09:22
1
Bunuel wrote:
If x = 3(2y - x), then what is the value of y in terms of x ?

(A) x/3
(B) x/6
(C) 2x/3
(D) 3x
(E) 6x

Given : x = 3(2y - x)

Question: value of y in terms of x ?

x =3(2y - x)

x = 6y - 3x

y = 4x/6

y = 2x/3

(C)
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Re: If x = 3(2y - x), then what is the value of y in terms of x ?   [#permalink] 19 Mar 2018, 09:22
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# If x = 3(2y - x), then what is the value of y in terms of x ?

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