# How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent y = -5x + 8 and 5x + y = -6?

Jun 29, 2017

The two equations are inconsistent.

#### Explanation:

Given -

$y = - 5 x + 8$ ---------------- (1)
$5 x + y = - 6$ -----------------(2)

The second equation can be written as

$y = - 5 x - 6$

The slope of both the equations are $- 5$

The two lines are parallel.
Hence no unique solution.
The two equations are inconsistent.