Solve the following system of equations graphically on the set of axes below.
$$\begin{array}{l}y=-x+7\\ 2x-y=8\end{array}$$
Plot two lines by clicking the graph. Click a line to delete it.

Step 1 ：First, we rewrite the second equation in the form of y = mx + b, which is the standard form of a linear equation. We get $y=2x-8$.

Step 2 ：Now we have two equations: $y=-x+7$ and $y=2x-8$.

Step 3 ：We can find the solution by setting these two equations equal to each other and solving for x: $-x+7=2x-8$.

Step 4 ：Adding x to both sides, we get $7=3x-8$.

Step 5 ：Adding 8 to both sides, we get $15=3x$.

Step 6 ：Dividing both sides by 3, we get $x=5$.

Step 7 ：Substituting x = 5 into the first equation, we get $y=-5+7=2$.

Step 8 ：Thus, the solution to the system of equations is $\boxed{{\displaystyle (5,2)}}$.

Step 9 ：We can check this solution by substituting x = 5 and y = 2 into the second equation: $2\ast 5-2=8$, which is true. So, the solution is correct.