# How do you solve the system 4x - y = 6 and 3x + 2y = 21?

Jun 25, 2015

I found:
$x = 3$
$y = 6$

#### Explanation:

From the first equation isolate $y$:
$y = 4 x - 6$
Substitute for $y$ into the second equation:
$3 x + 2 \left(4 x - 6\right) = 21$
$3 x + 8 x - 12 = 21$
$11 x = 33$
$x = 3$
Substitute this back into the first equation:
$y = 12 - 6 = 6$