# How do you solve the following system: x-3y=20 , 7x+15y=32 ?

Mar 29, 2018

$x = 11$
$y = - 3$

#### Explanation:

= $x - 3 y = 20$

= $x = 20 + 3 y$ **

Put above in other equation

= $7 \left(20 + 3 y\right) + 15 y = 32$

= $140 + 21 y + 15 y = 32$

= $21 y + 15 y = 32 - 140$

= $36 y = - 108$

=$y = - 3$

Now for $x$

=$x - 3 \left(- 3\right) = 20$

=$x + 9 = 20$

=$x = 11$

Hope this helps!