# How do you solve by substitution 2x + 3y = 1 and y = x – 8?

Jun 9, 2015

$2 x + 3 y = 1$ .......equation $\left(1\right)$
y = color(red)(x – 8 ...............equation $\left(2\right)$

Substituting equation $\left(2\right)$ in equation $\left(1\right)$ to find $x$

#### Explanation:

$2 x + 3 y = 1$
2x + 3color(red)((x-8)= 1
$2 x + 3 x - 24 = 1$
$5 x = 25$

 color(blue)(x = 5

Substituting $x$ in equation $\left(2\right)$ to find $y$

$y = x - 8$
 y = 5-8 , color(blue)(y =-3

The solutions for the system of equations are
 color(blue)( x=5, y=-3