What is the solution to the system of equations?
x-2y=-8
4x-8y=10

The equations are parallel! There is no solution.

Step-by-step explanation:

Our equations are:

#1    x-2y=-8

#2   4x-8y=10

The first step is to see if it is possible to simplify either of the equations, which is possible for equation #2.

4x-8y=10 -> 2x-4y=5

#2 is now 2x-4y=5

Next, we must compare the slopes of the equations. If they are parallel, substitution or adding/subtraction methods for a system of equations will not work. Each equation will now be put into slope-intercept form; y=mx+b, where m equals the slope and b is the y intercept.

#1

x-2y=-8

#2

2x-4y=5