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# If y ≠ 0, what is the value of x ?

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Director
Joined: 12 Feb 2015
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If y ≠ 0, what is the value of x ?  [#permalink]

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24 Sep 2018, 09:29
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25% (medium)

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71% (01:04) correct 29% (01:09) wrong based on 37 sessions

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If y ≠ 0, what is the value of x ?

(1) $$\frac{y}{x} = \frac{4y}{x} - 6y$$

(2) $$y = 2$$

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Re: If y ≠ 0, what is the value of x?  [#permalink]

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24 Sep 2018, 09:38
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Top Contributor
CAMANISHPARMAR wrote:
If $$y$$ ≠ 0, what is the value of $$x$$?
1) $$\frac{y}{x}$$=$$\frac{4y}{x}$$−$$6y$$

2) $$y = 2$$

Target question: What is the value of x

Statement 1: y/x = 4y/x - 6y
First eliminate the fractions by multiplying both sides of the equation by x to get: y = 4y - 6xy
Now divide both sides of the equation by y to get: 1 = 4 - 6x
Subtract 4 from both sides of the equation by y to get: -3 = -6x
Solve: x = 0.5
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: y = 2
Statement 2 is NOT SUFFICIENT

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Brent
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Re: If y ≠ 0, what is the value of x?   [#permalink] 24 Sep 2018, 09:38
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