Answer
No solution
Work Step by Step
For the first equation $2x-y=-4$, the $x$ and $y$ intercepts are found as $(-2,0)$ and $(0,-4)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Similarly, for the second equation $4x-2y=6$, the $x$ and $y$ intercepts are found as $(1.5,0)$ and $(0,-3)$ by substituting $0$ for $y$ and $x$ values in the equation respectively.
Now, graph each equation as a line passing through the intercepts. It is observed that the graphs of two lines are parallel lines and they do not intersect at all. Intersection of the lines indicate a solution and thus the given system has no solutions
The graph is as below.
