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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]  04 Mar 2017, 08:12
Expert's post
00:00

Question Stats:

99% (00:28) correct 0% (00:00) wrong based on 28 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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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1775 [0], given: 397

Re: If 7x = 5y + 66 and y = — 3x, what is the value of X 9 CD 1 [#permalink]  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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Sandy
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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
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

[Reveal] Spoiler:
B

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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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