# How do you solve the system 3x + 2y = 8 and 6x + 4y = 16?

Jan 1, 2016

$x = 2$
$y = 1$

#### Explanation:

$F i r s t$ $w e$ $c a n$ $a \mathrm{dd}$ $t h e s e$ $e q u a t i o n s$ $t$$o$ $g$$e t$

$9 x + 6 y = 24$

$N o w$ $w e$ $c a n$ $s t$$a r t$ $t r a n s p o s$$i$$n g$

$9 x = 18$

$x = 2$

$S o ,$ $w e$ $c a n$ $s t$$a r t$ $f i$$n \mathrm{di}$$n g$ $t h e$ $v a l u e$ $o f$ $y$

$18 + 6 y = 24$

$6 y = 6$

$y = 1$