# How do you solve the system of equations by substitution y= -2 and 4x - 3y =18?

Jun 9, 2017

$x = 3 , y = - 2$

#### Explanation:

Substitute the given $y$-value into $4 x - 3 y = 18$ and solve for $x$

If $y = - 2$ then,

$4 x - 3 \left(- 2\right) = 18$

$4 x + 6 = 18$

$4 x + \cancel{6 - 6} = 18 - 6$

$4 x = 12$

$\cancel{\frac{4}{4}} x = \frac{12}{4}$

$x = 3$

The solution to the system of equations is thus: $x = 3 , y = - 2$