# How do you solve the system of equations #5x = y - 8# and #5x - y = 4#?

##### 1 Answer

Dec 17, 2016

These two equations have no solution.

#### Explanation:

Given -

#5x=y-8# -------------(1)

#5x-y=4# -------------(2)

Solve Both equations for

#y-8 = 5x#

#y=5x+8#

Slope of the first equation

#-y=4-5x#

#y=-4+5x#

Slope of the second equation#m_2=5#

Since the slopes of the two equations are the same. They are parallel.

These two equations have no solution.