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If y ≠ 0, what is the value of x ?

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

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New post 24 Sep 2018, 09:29
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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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New post 24 Sep 2018, 09:38
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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
No info about x
Statement 2 is NOT SUFFICIENT

Answer: A

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