3x - 2y = 10
5x + y = 4

When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated?

A) 13x = 18
B) -7x = 2
C) -7y = 62
D) 8x - y = 14

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A) 13x=18

To eliminate the y variable:
Multiply the second equation by 2 so that they cancel
(2)5x+y=4
10x+2=8
Then combine like terms of both equations
3x-2y=10
10x+2y=8
13x=18