# How do you solve the simultaneous equations 4x - y = 5 and 2x + y = -2?

Jul 21, 2015

I fund:
$x = \frac{1}{2}$
$y = - 3$

#### Explanation:

You can add the two equations (in column) as:
{4x-y=5
{2x+y=-2
$6 x + 0 = 3$
$x = \frac{3}{6} = \frac{1}{2}$
Substituting back into the first equation:
$4 \cdot \frac{1}{2} - y = 5$
$2 - y = 5$
$y = - 3$