Solve the following system by the method of your choice. \[ \begin{array}{l} x^{3}+y=0 \\ -x^{2}+y=0 \end{array} \] Select the correct choice below and, if necessary, fill in th

Step 1 ：The system of equations is non-linear. We can solve it by substitution or elimination. Here, substitution seems to be the easier method.

Step 2 ：We can express y in terms of x from the second equation and substitute it into the first equation.

Step 3 ：Substituting y = -x^2 into the first equation, we get x^3 - x^2 = 0.

Step 4 ：Solving this equation, we find that x = 0 or x = 1.

Step 5 ：Substituting x = 0 into the second equation, we find that y = 0. Substituting x = 1 into the second equation, we find that y = -1.

Step 6 ：Final Answer: The solutions to the system of equations are \(\boxed{(x, y) = (0, 0), (1, -1)}\).