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If x ≠ 0, what is the value of k?

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

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New post 03 Apr 2018, 20:16
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If x ≠ 0, what is the value of k?

(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

(2) \(\frac{k}{x} = 2\)
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Re: If x ≠ 0, what is the value of k?  [#permalink]

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New post 03 Apr 2018, 20:54
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Bunuel wrote:
If x ≠ 0, what is the value of k?

(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

(2) \(\frac{k}{x} = 2\)


From1:since x ≠ 0.
dividing x from both side
\(\frac{3}{4} + \frac{k}{3} = \frac{1}{}\)

one variable one equation sufficient.

from2:
two variable one equation ,insufficient.

hence A
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If x ≠ 0, what is the value of k?  [#permalink]

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New post 04 Apr 2018, 14:19
Bunuel wrote:
If x ≠ 0, what is the value of k?

(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

(2) \(\frac{k}{x} = 2\)



(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

As x ≠ 0 &and can't be zero actually), then we can cancel out x

\(\frac{3}{4} + \frac{k}{3} =1\)

We have an equation with 1 unknown (K)

Sufficient

(2) \(\frac{k}{x} = 2\)

This a ratio so we can't determine value of k

insufficient

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

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New post 28 Nov 2018, 08:19
Mo2men wrote:
Bunuel wrote:
If x ≠ 0, what is the value of k?

(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

(2) \(\frac{k}{x} = 2\)



(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

As x ≠ 0 &and can't be zero actually), then we can cancel out x

\(\frac{3}{4} + \frac{k}{3} =1\)

We have an equation with 1 unknown (K)

Sufficient

(2) \(\frac{k}{x} = 2\)

This a ratio so we can't determine value of k

insufficient

Answer: A





Can you provide some clarity on how you eliminated X from the equation without simply assuming x = 1? Thx.
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Re: If x ≠ 0, what is the value of k?  [#permalink]

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New post 06 Dec 2018, 07:14
chowarth wrote:
Mo2men wrote:
Bunuel wrote:
If x ≠ 0, what is the value of k?

(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

(2) \(\frac{k}{x} = 2\)



(1) \(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\)

As x ≠ 0 &and can't be zero actually), then we can cancel out x

\(\frac{3}{4} + \frac{k}{3} =1\)

We have an equation with 1 unknown (K)

Sufficient

(2) \(\frac{k}{x} = 2\)

This a ratio so we can't determine value of k

insufficient

Answer: A





Can you provide some clarity on how you eliminated X from the equation without simply assuming x = 1? Thx.


\(\frac{3}{4x} + \frac{k}{3x} = \frac{1}{x}\) If you now multiply by \(x\) then: \(\frac{3}{4x}*x + \frac{k}{3x}*x = \frac{1}{x}*x\) --> Then the \(x\) in each denominator chancels out \(\frac{3}{4} + \frac{k}{3} = 1\)
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Re: If x ≠ 0, what is the value of k? &nbs [#permalink] 06 Dec 2018, 07:14
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