We can infer for the graph that the solution of the system of equation is the point (0,4).
The point (0,4) is the solution of the system of equations because their graphs intercept at that point.
As a bonus, we can also infer for the graph that our system of equations is:
[tex] \left \{ {{y=|x-4|} \atop {y=2x+4}} \right. [/tex]
