# How do solve the following linear system?:  x= y - 11 , -8x + y = 2 ?

Jan 22, 2016

I found:
$x = \frac{9}{7}$
$y = \frac{86}{7}$

#### Explanation:

Let us take the first equation and substitute into the second for $x$:
$- 8 \left(\textcolor{red}{y - 11}\right) + y = 2$
solve for $y$:
$- 8 y + 88 + y = 2$
$7 y = 86$
so $y = \frac{86}{7}$
substitute this back into the first equation:
$x = \frac{86}{7} - 11 = \frac{9}{7}$