# How do you solve the system of equations: 3x+2y-5=0, x=y+10?

Aug 14, 2015

The solutions are
color(blue)(x=5,y=-5

#### Explanation:

$3 x + 2 y = 5$................equation $1$
 x=color(blue)(y+10..................equation $2$

Solving by substitution:

Substituting equation $2$ in equation $1$

$3 x + 2 y = 5$

$3 \cdot \left(\textcolor{b l u e}{y + 10}\right) + 2 y = 5$

$3 y + 30 + 2 y = 5$

$5 y = 5 - 30$

$5 y = - 25$

color(blue)(y=-5

Finding $x$ by substituting $y$ in equation $2$
$x = y + 10$
$x = - 5 + 10$
color(blue)(x=5