In the system:
[tex]\begin{gathered} y=\frac{1}{2}x-4 \\ y=\frac{1}{2}x+5 \end{gathered}[/tex]Both lines have the same slope, this means that they are parallel. The solution for a system of equations is the point were these two lines meet. But when 2 lines are parallel, they don't meet (never). This means that this system has no solution.
