How do you solve the system by graphing #2x – y = 4# and #4x – 2y =-8#?

1 Answer
May 3, 2016

Answer:

No solutions. Lines are parallel.

Explanation:

Converting #2x-y=4# to slope intercept form, we get

#y=2x-4#, i.e. slope is #2# and intercept on #y#-axis is #-4#

Converting #4x-2y=-8# to slope intercept form, we get

#2y=4x+8# or #y=2x+4#, i.e. slope is #2# and intercept on #y#-axis is #4#

As the slope of the two is same, the lines are parallel and hence no solution.

graph{(2x-y-4)(4x-2y+8)=0 [-10, 10, -5, 5]}