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# If 4x = 14 and xy = 1 then y =

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Math Expert
Joined: 02 Sep 2009
Posts: 60646
If 4x = 14 and xy = 1 then y =  [#permalink]

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25 Oct 2018, 03:43
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Difficulty:

5% (low)

Question Stats:

94% (00:39) correct 6% (00:27) wrong based on 51 sessions

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If 4x = 14 and xy = 1 then y =

A. 56
B. 7/2
C. 2/7
D. 1/5
E. 1.56

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Senior Manager
Joined: 15 Feb 2017
Posts: 297
Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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25 Oct 2018, 03:54
If 4x = 14 and xy = 1 then y =

A. 56
B. 7/2
C. 2/7
D. 1/5
E. 1.56

4x = 14 , x = 14/4

xy = 1, (14/4)* y = 1

y = 4 / 14

Hence y = 2/7

Choice C is correct.

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IMPOSSIBLE IS JUST AN OPINION
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Joined: 05 Jan 2017
Posts: 33
Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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25 Oct 2018, 04:47
2
4x=14
=>x = 14/4

xy=1
=>y=1/(14/4)
=2/7 (C)
Intern
Joined: 24 Sep 2018
Posts: 1
Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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25 Oct 2018, 06:40
xy=1
y=1/x....(1)

4x=14
x=14/4=7/2....(2)

From (1)&(2)
y=1/(7/2)=2/7

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Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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25 Oct 2018, 07:10
Bunuel wrote:
If 4x = 14 and xy = 1 then y =

A. 56
B. 7/2
C. 2/7
D. 1/5
E. 1.56

$$4x = 14$$

So, $$x = \frac{7}{2}$$

Now, $$xy = 1$$ ; So $$\frac{7}{2}*y = 1$$

Hence, $$y = \frac{2}{7}$$ ; Answer must be (C)
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Joined: 24 Oct 2018
Posts: 9
Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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25 Oct 2018, 07:32
xy=1
y=1/x....(1)
From (1)&(2)
y=1/(7/2)=2/7
(C)
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Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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30 Oct 2018, 11:21
Bunuel wrote:
If 4x = 14 and xy = 1 then y =

A. 56
B. 7/2
C. 2/7
D. 1/5
E. 1.56

We see that x =14/4 = 7/2.

Thus:

7/2 * y = 1

y = 2/7

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Re: If 4x = 14 and xy = 1 then y =   [#permalink] 30 Oct 2018, 11:21
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