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If p + 2q =14 and 3p + q = 12,
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31 Jan 2022, 04:00
31 Jan 2022, 04:00
Expert Reply
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Question Stats:
88% (00:51) correct
11% (00:36) wrong based on 18 sessions
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If \(p + 2q =14\) and \(3p + q = 12\), then \( p =\)
A –2
B –1
C 1
D 2
E 3
A –2
B –1
C 1
D 2
E 3
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
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Re: If p + 2q =14 and 3p + q = 12,
[#permalink]
01 Feb 2022, 07:30
01 Feb 2022, 07:30
1
Carcass wrote:
If \(p + 2q =14\) and \(3p + q = 12\), then \( p =\)
A –2
B –1
C 1
D 2
E 3
A –2
B –1
C 1
D 2
E 3
Given:
\(3p + q = 12\)
\(p + 2q =14\)
Our goal is to eliminate the variable \(q\) so that we are left with an equation with the variable \(p\) only...
Take the top equation and multiply both sides by \(2\) to get:
\(6p + 2q = 24\)
\(p + 2q =14\)
Subtract the bottom equation from the top equation to get: \((6p + 2q) - (p + 2q) = 24 - 14\)
Simplify: \(5p = 10\)
Solve: \(p = 2\)
Answer: D
gmatclubot
Re: If p + 2q =14 and 3p + q = 12, [#permalink]
01 Feb 2022, 07:30
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