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.