#### Answer

This means that the equations have the same slopes, but different y-intercepts.
Therefore, the system is inconsistent, there are no solutions.

#### Work Step by Step

First equation:
$-x+2y=8$
$2y=x+8$
$y=\frac{1}{2}x+4$
Second equation:
$4x-8y=1$
$8y=4x-1$
$y=\frac{4}{8}x-\frac{1}{8}=\frac{1}{2}x-\frac{1}{8}$
This means that the equations have the same slopes, but different y-intercepts.
Therefore, the system is inconsistent, there are no solutions.