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2x + 3y = 10

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2x + 3y = 10 [#permalink] New post 26 Jun 2018, 09:19
Expert's post
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Question Stats:

84% (00:28) correct 15% (00:47) wrong based on 13 sessions
\(2x + 3y = 10\)

\(x + 2y = 8\)

Quantity A
Quantity B
\(x + y\)
\(2\)



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.
[Reveal] Spoiler: OA

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Re: 2x + 3y = 10 [#permalink] New post 27 Jun 2018, 16:57
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Solve the system of equations, then y=6 and x=-4.

Thus x+y=2 -> C
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Re: 2x + 3y = 10 [#permalink] New post 07 Jun 2019, 06:20
Expert's post
Carcass wrote:
\(2x + 3y = 10\)

\(x + 2y = 8\)

Quantity A
Quantity B
\(x + y\)
\(2\)



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.


Here's A DIFFERENT APPROACH

Since quantity A = x + y, we don't need to actually solve the given system for the individual values of x and y.

Given:
2x + 3y = 10
x + 2y = 8

Subtract the bottom equation from the top equation to get: x + y = 2

We get:
Quantity A: 2
Quantity B: 2

Answer: C

Cheers,
Brent
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Re: 2x + 3y = 10   [#permalink] 07 Jun 2019, 06:20
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