# How do solve the following linear system?:  y=-6x-9 , -x+3y=-5 ?

Use substitution method

#### Explanation:

Given linear equations:
$y = - 6 x - 9 \setminus \ldots \left(1\right)$ &
$- x + 3 y = - 5 \setminus \ldots \left(2\right)$
substituting the value of $y$ from (1) into (2), we get
$- x + 3 \left(- 6 x - 9\right) = - 5$
$- 19 x = 22$
$\setminus \implies x = - \setminus \frac{22}{19}$
$y = - 6 x - 9 = - 6 \left(- \setminus \frac{22}{19}\right) - 9 = - \setminus \frac{39}{19}$