# How do you solve 4x + y = 10 and 2x – 3y = 12?

Mar 28, 2015

x = 3 ; y = -2

By taking the sum of the first equation and second equation scaled by $- 2$ you get the resulting equation to solve for $y$.

$4 x + y = 10$
$- 4 x + 6 y = - 24$

$7 y = - 14$
$y = - 2$

By substitution of $y = - 2$ back into the first equation you can solve for $x$.
$4 x - 2 = 10$
$4 x = 12$
$x = 3$