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# If x ≠ 0 and y = (x + 1)/x – 1, what is 1/y?

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
If x ≠ 0 and y = (x + 1)/x – 1, what is 1/y?  [#permalink]

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05 Feb 2019, 03:29
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Difficulty:

15% (low)

Question Stats:

89% (00:44) correct 11% (01:11) wrong based on 18 sessions

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If x ≠ 0 and $$y = \frac{x + 1}{x} – 1$$, what is $$\frac{1}{y}$$?

A. x

B. $$\frac{1}{y}$$

C. −x + 1

D. $$\frac{x+1}{x-1}$$

E. −(x + 1)

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Re: If x ≠ 0 and y = (x + 1)/x – 1, what is 1/y?  [#permalink]

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05 Feb 2019, 03:37
Bunuel wrote:
If x ≠ 0 and $$y = \frac{x + 1}{x} – 1$$, what is $$\frac{1}{y}$$?

A. x

B. $$\frac{1}{y}$$

C. −x + 1

D. $$\frac{x+1}{x-1}$$

E. −(x + 1)

Simplify $$y = \frac{x + 1}{x} – 1$$ ==> y =((x+1)-x) /x ==> 1/x

1/y = x

Hence A
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Re: If x ≠ 0 and y = (x + 1)/x – 1, what is 1/y?  [#permalink]

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05 Feb 2019, 03:42
$$y=\frac{x+1}{x}–1 = 1+\frac{1}{x}-1=\frac{1}{x}$$
Hence $$x=\frac{1}{y}$$

IMO A
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Re: If x ≠ 0 and y = (x + 1)/x – 1, what is 1/y?   [#permalink] 05 Feb 2019, 03:42
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# If x ≠ 0 and y = (x + 1)/x – 1, what is 1/y?

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