# How do you solve the system of equations by graphing y= -x-10 and 6x-5y=6 and then classify the system?

Aug 26, 2017

A unique solution is there.

$x = - 4$
$y = - 6$
The equations are compatible.

#### Explanation:

Given -

$y = - x - 10$ -------------------(1)
$6 x - 5 y = 6$ ---------------(2)

Substitute $y = - x - 10$ in equation 2

$6 x - 5 \left(x - 10\right) = 6$
$6 x - 5 x + 10 = 6$
$x = 6 - 10 = - 4$
$x = - 4$

Substitute $x = - 4$ in equation 1

$y = - \left(- 4\right) - 10$
$y = 4 - 10 = - 6$
$y = - 6$

The equations are compatible.