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

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

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New post 25 Oct 2018, 02:43
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

93% (00:18) correct 7% (00:18) wrong based on 42 sessions

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

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New post 25 Oct 2018, 02:54
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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Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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New post 25 Oct 2018, 03:47
2
4x=14
=>x = 14/4

xy=1
=>y=1/(14/4)
=2/7 (C)
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Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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New post 25 Oct 2018, 05:40
xy=1
y=1/x....(1)

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

From (1)&(2)
y=1/(7/2)=2/7
(C) is the correct answer

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

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New post 25 Oct 2018, 06:10
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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Re: If 4x = 14 and xy = 1 then y =  [#permalink]

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New post 25 Oct 2018, 06:32
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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New post 30 Oct 2018, 10:21
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

Answer: C
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Re: If 4x = 14 and xy = 1 then y = &nbs [#permalink] 30 Oct 2018, 10:21
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