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If x + y = 24 and 2x-7y=15, which of the following is equal to 13?

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If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink] New post  10 Dec 2018, 16:51
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If \(x + y = 24\) and \(2x-7y=15\), which of the following is equal to 13?

A. \(x-y\)
B. \(x+y\)
C. \(x-2y\)
D. \(2x + y\)
E. \(2x-y\)
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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink] New post  10 Dec 2018, 19:17
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Derive Y value via elimination.

-2x-2y=-48
2x−7y=15

Y=11/3 then X = 24-11/3

No need for exact X value, skim the answers to see choice C equals 13. x−2y = (24-11/3)-2*(11/3) = 13
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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink] New post  21 Feb 2021, 08:02
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x+y=24 and 2x−7y=15

Add both equations,
3x-6y=39
and divide by 3,
x-2y=13
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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink] New post  26 Feb 2021, 12:17
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Solution



Given
In this question, we are given that
    • x + y = 24 and 2x − 7y = 15

To find
We need to determine
    • Among the given options, which one is equal to 13

Approach and Working out
As 24 + 15 = 39, which is a multiple of 13 (or 13 x 3), we will start with adding the given equations.
    • x + y + 2x – 7y = 24 + 15
    or, 3x – 6y = 39
    or, 1/3 (3x – 6y) = 1/3 x 39
    or, x – 2y = 13

Thus, option C is the correct answer.

Correct Answer: Option C
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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink] New post  16 Aug 2022, 01:12
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Re: If x + y = 24 and 2x-7y=15, which of the following is equal to 13? [#permalink]
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