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5x – y = 3 and 3x + y = 13
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04 Jan 2021, 10:39
04 Jan 2021, 10:39
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Question Stats:
80% (00:36) correct
19% (00:09) wrong based on 21 sessions
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\(5x – y = 3\)
\(3x + y = 13\)
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
\(3x + y = 13\)
Quantity A |
Quantity B |
x |
y |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 5x – y = 3 and 3x + y = 13
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06 Jan 2021, 10:35
06 Jan 2021, 10:35
1
Carcass wrote:
\(5x – y = 3\)
\(3x + y = 13\)
\(3x + y = 13\)
Quantity A |
Quantity B |
x |
y |
Given:
\(5x – y = 3\)
\(3x + y = 13\)
Add the two equations to get: \(8x = 16\)
Divide both sides by \(8\) to get: \(x = 2\)
Now take \(5x – y = 3\) and replace \(x\) with \(2\) to get: \(5(2) – y = 3\)
Solve to get \(y = 7\)
We now have:
QUANTITY A: \(2\)
QUANTITY B: \(7\)
Answer: B
Cheers,
Brent
gmatclubot
Re: 5x – y = 3 and 3x + y = 13 [#permalink]
06 Jan 2021, 10:35
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