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# If 3y = 2x + 6, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 50585
If 3y = 2x + 6, what is the value of x?  [#permalink]

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14 Aug 2016, 06:16
00:00

Difficulty:

15% (low)

Question Stats:

82% (01:07) correct 18% (01:11) wrong based on 96 sessions

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If 3y = 2x + 6, what is the value of x?

(1) 6y = 4x + 12
(2) 2y = 3x − 3

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If 3y = 2x + 6, what is the value of x?  [#permalink]

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14 Aug 2016, 07:18
Bunuel wrote:
If 3y = 2x + 6, what is the value of x?

(1) 6y = 4x + 12
(2) 2y = 3x − 3

(1) 6y = 4x + 12
This equation cannot be used to solve for variable x or y as it will give us infinite many solutions when used in conjunction with the equation given in the stimulus.

$$\frac{a1}{a1}=\frac{b1}{b2}=\frac{c1}{c2}$$

$$\frac{3}{6}=\frac{2}{4}=\frac{6}{12}$$

$$\frac{1}{2}=\frac{1}{2}=\frac{1}{2}$$===>Infinite many solution

(2) 2y = 3x − 3
Gives us unique solution
Sufficient
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Re: If 3y = 2x + 6, what is the value of x?  [#permalink]

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12 Dec 2017, 19:26
If you multiply the eqn in the qn by 2 you get the same eqn as statement 1.
2 * (3y = 2x + 6) = 6y = 4x + 12
So statement 1 is not sufficient.

If you solve statement 2 , you can get the values of x and y by simultaneous method.
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Re: If 3y = 2x + 6, what is the value of x? &nbs [#permalink] 12 Dec 2017, 19:26
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