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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If 3x + 4y = -8, and if x - 2y = 1/2, then x =
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20 Mar 2020, 23:55
20 Mar 2020, 23:55
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Question Stats:
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If \(3x + 4y = -8\), and if \(x - 2y = \frac{1}{2},\) then \(x =\)
(A) -12
(B) \(-\frac{7}{5}\)
(C) \(\frac{1}{3}\)
(D) \(\frac{14}{5}\)
(E) 9
(A) -12
(B) \(-\frac{7}{5}\)
(C) \(\frac{1}{3}\)
(D) \(\frac{14}{5}\)
(E) 9
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: If 3x + 4y = -8, and if x - 2y = 1/2, then x =
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21 Mar 2020, 04:35
21 Mar 2020, 04:35
2
GeminiHeat wrote:
If \(3x + 4y = -8\), and if \(x - 2y = \frac{1}{2}\), then \(x =\)
(A) -12
(B) \(-\frac{7}{5}\)
(C) \(\frac{1}{3}\)
(D) \(\frac{14}{5}\)
(E) 9
(A) -12
(B) \(-\frac{7}{5}\)
(C) \(\frac{1}{3}\)
(D) \(\frac{14}{5}\)
(E) 9
NOTE: For systems of equations questions, it is typically quicker to use the elimination method (over the substitution method)
Given:
\(3x + 4y = -8\)
\(x - 2y = \frac{1}{2}\)
Take the bottom equation, and multiply both sides by \(2\), to get an equivalent equation:
\(3x + 4y = -8\)
\(2x - 4y = 1\)
Now, when we add the two equations, the y-terms cancel out to get: \(5x = -7\)
Divide both sides by \(5\) to get: \(x = \frac{-7}{5}\)
Answer: B
Cheers,
Brent
Re: If 3x + 4y = -8, and if x - 2y = 1/2, then x =
[#permalink]
10 Feb 2024, 14:16
10 Feb 2024, 14:16
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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