# When solving this system of equations by elimination, which could be the resulting equation when a variable has been eliminated? 3x - 2y = 10 5x + y = 4 A) 13x = 18 B) -7x = 2 C) -7y = 62 D) 8x - y = 14

Aug 8, 2016

A)13x=18

#### Explanation:

$3 x - 2 y = 10$
$5 x + y = 4$
or
$10 x + 2 y = 8$
Adding $10 x + 2 y = 8$ and $3 x - 2 y = 10$
We get
$10 x + 3 x + 2 y - 2 y = 8 + 10$
or
$13 x = 18$