# How do solve the following linear system?: 5x + y = 9 , 10x - 7y = -18 ?

Feb 29, 2016

$y = 9 - 5 x , 10 x - 7 \left(9 - 5 x\right) = - 18$
$10 x - 63 + 35 x = - 18$
$45 x = 45 , x = 1 , y = 4$

#### Explanation:

One way to solve the system here is to use substitution method. Take the first equation and solve y (you can solve for x if you want) and then plug it in to the second equation. Then solve for x. Once you get the answer for x put it in to the first equation and find y.