Solve the following system of equations graphically on the set of axes below.
\[
\begin{array}{l}
y=-x+7 \\
2 x-y=8
\end{array}
\]
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 \(\boxed{(5,2)}\).

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