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If 4x − 3y = 13 and 5x + 2y = −1, then x =

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by Brent@GMATPrepNow » Sun Sep 16, 2018 5:30 pm
BTGmoderatorDC wrote:If 4x − 3y = 13 and 5x + 2y = −1, then x =

A. −3
B. −1
C. 1
D. 3
E. 5
Given:
4x − 3y = 13
5x + 2y = −1

Take the top equation and multiply both sides by 2
Take the bottom equation and multiply both sides by 3
We get:
8x − 6y = 26
15x + 6y = −3

Add the two equations to get: 23x = 23
Solve: x = 1

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by Scott@TargetTestPrep » Tue Sep 18, 2018 5:52 pm
BTGmoderatorDC wrote:If 4x − 3y = 13 and 5x + 2y = −1, then x =

A. −3
B. −1
C. 1
D. 3
E. 5
We can multiply the first equation by 2 and the second by 3 and we have:

8x - 6y = 26

and

15x + 6y = -3

Adding the equations together, we have:

23x = 23

x = 1

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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