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If 7x = 5y + 66 and y = — 3x, what is the value of X 9 CD 1

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If 7x = 5y + 66 and y = — 3x, what is the value of X 9 CD 1 [#permalink] New post 04 Mar 2017, 08:12
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Question Stats:

100% (00:26) correct 0% (00:00) wrong based on 24 sessions



If 7x = 5y + 66 and y = — 3x, what is the value of X ?

A) 1

B) 3

C) 5

D) 7

E) 9
[Reveal] Spoiler: OA

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Re: If 7x = 5y + 66 and y = — 3x, what is the value of X 9 CD 1 [#permalink] New post 10 Mar 2017, 17:00
Expert's post
Explanation

This is a simple substitution problem \(–3x\) in for \(y\) in the equation: \(7x = 5y + 66\)

\(7x = 5(-3x) + 66\)
\(7x = -15x + 66\)
\(22x = 66\)
\(x = 3\)

Hence option B is correct.
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Re: If 7x = 5y + 66 and y = — 3x, what is the value of X 9 CD 1 [#permalink] New post 15 Oct 2017, 15:33
Expert's post
Carcass wrote:



If 7x = 5y + 66 and y = — 3x, what is the value of X ?

A) 1

B) 3

C) 5

D) 7

E) 9


Given: 7x = 5y + 66 and y = -3x
Take 7x = 5y + 66 and replace y with -3x
We get: 7x = 5(-3x) + 66
Expand: 7x = -15x + 66
Add 15x to both sides to get: 22x = 66
Solve: x = 3

Answer:
[Reveal] Spoiler:
B


Cheers,
Brent
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Re: If 7x = 5y + 66 and y = — 3x, what is the value of X 9 CD 1   [#permalink] 15 Oct 2017, 15:33
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