# How do you solve the simultaneous equations 2x + 3y = 6 and 3x - 2y = 22?

Jul 15, 2015

I found:
$x = 6$
$y = - 2$

#### Explanation:

You can start by multiplying the first equation by $3$ and the second by $- 2$ to get:
{6x+9y=18
{-6x+4y=-44
add the two equations (in columns) to get:
$0 + 13 y = - 26$
So: $y = - \frac{26}{13} = - 2$
Substitute back this value into the first equation:
$2 x + 3 \left(- 2\right) = 6$
$2 x - 6 = 6$
$2 x = 12$
$x = \frac{12}{2} = 6$