1. The problem asks for the solution to a system of two linear equations represented by two lines on a graph. 2. The solution to a system of linear equations is the point where the two lines intersect. 3. From the graph description, the two lines intersect at the point $(5, 2)$. 4. Therefore, the solution to the system of equations is the ordered pair $(5, 2)$. This means that when $x=5$, both equations have the same $y$ value of $2$. Hence, the solution is: $$\boxed{(5, 2)}$$