# How do solve the following linear system?:  4x+y=6 , 3x+2 y=-24 ?

Feb 19, 2016

I found:
$x = \frac{36}{5}$
$y = - \frac{114}{5}$

#### Explanation:

I would collect $y$ from the first equation and substitute into the second:
$y = 6 - 4 x$
into the second:
$3 x + 2 \left(\textcolor{red}{6 - 4 x}\right) = - 24$
solve for $x$:
$3 x + 12 - 8 x = - 24$
$5 x = 36$
$x = \frac{36}{5}$
Substitute this into the first:
$y = 6 - 4 \left(\textcolor{b l u e}{\frac{36}{5}}\right) = - \frac{114}{5}$