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

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Answer 1 · 2016-12-17T13:12:48

These two equations have no solution.

Given -

#5x=y-8# -------------(1)
#5x-y=4# -------------(2)

Solve Both equations for #y#

#y-8 = 5x#
#y=5x+8#

Slope of the first equation #m_1=5#

#-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.