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

Question

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

GMATinsight · Answer

x = 3(2y - x)

rearranging,

x = 6y - 3x

x+3x = 6y

6y = 4x

y = 2x/3

ANswer: option C

chetan2u · Answer

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

Abhishek009 · Answer

x = 6y - 3x

Or,  4x = 6y

So,  2x = 3y

Thus,  y = \frac{2x}{3} , hence answer will be (C)

dontgiveup2020 · Answer

X = 3(2Y - X)
X = 6Y - 3X
4X = 6Y

Hence, Y = (4/6)X = (2/3)X 
Option C is the answer.

AkshdeepS · Answer

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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