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7x 2y = 13, and x 2y = 11. The variable y =
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04 Aug 2022, 03:08
04 Aug 2022, 03:08
Expert Reply
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Question Stats:
42% (01:07) correct
57% (01:02) wrong based on 7 sessions
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\(−7x − 2y = −13\), and \(x − 2y = 11\). The variable y =
A -3
B -4
C 3
D 4
E 7
A -3
B -4
C 3
D 4
E 7
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials (2022)
GRE Geometry Formulas
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 7x 2y = 13, and x 2y = 11. The variable y =
[#permalink]
04 Aug 2022, 06:20
04 Aug 2022, 06:20
1
Carcass wrote:
\(−7x − 2y = −13\), and \(x − 2y = 11\). The variable y =
A -3
B -4
C 3
D 4
E 7
A -3
B -4
C 3
D 4
E 7
Let's label the two equations as follows:
(1) \(x − 2y = 11\)
(2) \(−7x − 2y = −13\)
To eliminate the y's, we can subtract equation (2) from equation (1) to get: \((x − 2y) - (-7x - 2y) = 11 - (-13)\)
Simplify: \(8x = 24\)
Solve: \(x = 3\)
To find the corresponding value of y, plug \(x = 3\) into equation (1) to get: \(3 − 2y = 11\)
Subtract 3 from both sides of the equation: \(−2y = 8\)
Solve: \(y = \frac{8}{-2} = -4\)
Answer: B
gmatclubot
Re: 7x 2y = 13, and x 2y = 11. The variable y = [#permalink]
04 Aug 2022, 06:20
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