# How do you solve the system of equations: 2x - y = 36 ; 3x - 0.5 = 26?

Aug 22, 2015

The solutions are
color(blue)(x=8.33, y=-19.34

#### Explanation:

$2 x - y = 36$

$3 x - 0.5 = 26$
$3 x = 26 + 0.5$
$3 x = 26.5$
$x = \frac{26.5}{3}$

x=color(blue)(8.33

Finding $y$ from the first equation
$2 x - y = 36$

$2 x - 36 = y$

$y = 2 \cdot \left(8.33\right) - 36$
$y = 16.6 - 36$
color(blue)(y=-19.34