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

Question

1854 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-29T06:00:33

The two equations are inconsistent.

Given -

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

The second equation can be written as

$y=-5x - 6$

The slope of both the equations are $-5$

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

enter image source here

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent y = -5x + 8y = -5x + 8 and 5x + y = -65x + y = -6?