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The solution to the given system of equations:

\[
\begin{aligned}
x^2 - 3y &= -3 \\
x^2 + 2y &= 17
\end{aligned}
\]

is:

\[
\text{Ordered pairs: } \boxed{(5, 6) \text{ and } (5, -6)}
\]

Use the elimination method to find all solutions of the system. Write the solution(s) as a list of ordered pairs.
{x² - 3y = -3
x² + 2y = 17}

Learn how to solve a system of equations involving quadratic expressions and elimination method. This example solves x² - 3y = -3 and x² + 2y = 17, yielding solutions as ordered pairs (5, 6) and (5, -6). Perfect for students in Grades 8-10 studying algebra.

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