Question #a7add

1 Answer
Apr 14, 2017

The system is inconsistent.

Explanation:

Assuming that the equations are:

#5x-2y=3#
#-20x+8y=6#

Write the lines in slope intercept form of: #y=mx+b# , where m is the slope and b is the y-intercept:

#2y=5x-3#
#8y=20x+6#

#y=(5/2)x-3/2#
#y=(5/2)x+3/4#

Notice that the lines have the same slope but different y-intercepts, therfore the 2 lines are parallel, they do not intersect so this system has no solution. Hence the system is inconsistent.