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

[BTGmoderatorDC]

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

A. −3
B. −1
C. 1
D. 3
E. 5

OA C

Source: Magoosh

[Brent@GMATPrepNow]

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

[Scott@TargetTestPrep]

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