Solve the system of equations graphed on the coordinate axes below.
\[
\begin{array}{l}
y=x-1 \\
y=-\frac{2}{3} x-1
\end{array}
\]

Step 1 ：The system of equations represents two lines. The solution to the system of equations is the point where the two lines intersect.

Step 2 ：To find this point, we can set the two equations equal to each other and solve for x. Once we have the value of x, we can substitute it into either of the two equations to find the corresponding value of y.

Step 3 ：Setting the two equations equal to each other gives: \(x - 1 = -\frac{2}{3}x - 1\)

Step 4 ：Solving for x gives: \(x = 0\)

Step 5 ：Substituting \(x = 0\) into the first equation gives: \(y = 0 - 1 = -1\)

Step 6 ：The solution to the system of equations is the point (0, -1). This is the point where the two lines intersect on the graph.

Step 7 ：Final Answer: The solution to the system of equations is \(\boxed{(0, -1)}\)