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5x – y = 3 and 3x + y = 13

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Carcass
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5x – y = 3 and 3x + y = 13 [#permalink] New post   04 Jan 2021, 10:39
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\(5x – y = 3\)

\(3x + y = 13\)


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.

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B
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GreenlightTestPrep
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Re: 5x – y = 3 and 3x + y = 13 [#permalink] New post   06 Jan 2021, 10:35
1
Carcass wrote:
\(5x – y = 3\)

\(3x + y = 13\)

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
Prep Club for GRE Bot
gmatclubot
Re: 5x – y = 3 and 3x + y = 13 [#permalink]
06 Jan 2021, 10:35
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