If 4x − 3y = 13 and 5x + 2y = −1, then x =
A. −3
B. −1
C. 1
D. 3
E. 5
OA C
Source: Magoosh
If 4x − 3y = 13 and 5x + 2y = −1, then x =
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Given:BTGmoderatorDC wrote:If 4x − 3y = 13 and 5x + 2y = −1, then x =
A. −3
B. −1
C. 1
D. 3
E. 5
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
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We can multiply the first equation by 2 and the second by 3 and we have:BTGmoderatorDC wrote:If 4x − 3y = 13 and 5x + 2y = −1, then x =
A. −3
B. −1
C. 1
D. 3
E. 5
8x - 6y = 26
and
15x + 6y = -3
Adding the equations together, we have:
23x = 23
x = 1
Answer: C
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