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To determine whether each ordered pair \((x, y)\) is a solution to the given system of equations:

\[
\begin{cases}
3x - 2y = -4 \\
2x + 5y = -9
\end{cases}
\]

We need to substitute the values of \(x\) and \(y\) from each ordered pair into both equations and check if they satisfy both equations.

### Let's check each pair:

1. **(4, 8)**:
   - Substitute \(x = 4\) and \(y = 8\) into the first equation:
     \[
     3(4) - 2(8) = 12 - 16 = -4 \quad (\text{True for the first equation})
     \]
   - Now, substitute into the second equation:
     \[
     2(4) + 5(8) = 8 + 40 = 48 \quad (\text{False for the second equation, since } 48 \neq -9)
     \]
   - Therefore, (4, 8) is **not** a solution to the system.

2. **(0, 3)**:
   - First equation:
     \[
     3(0) - 2(3) = 0 - 6 = -6 \quad (\text{False for the first equation, since } -6 \neq -4)
     \]
   - So, (0, 3) is **not** a solution.

3. **(8, -5)**:
   - First equation:
     \[
     3(8) - 2(-5) = 24 + 10 = 34 \quad (\text{False, since } 34 \neq -4)
     \]
   - Therefore, (8, -5) is **not** a solution.

4. **(-1, -2)**:
   - First equation:
     \[
     3(-1) - 2(-2) = -3 + 4 = 1 \quad (\text{False, since } 1 \neq -4)
     \]
   - Thus, (-1, -2) is **not** a solution.

### Conclusion:
None of the ordered pairs are solutions to the system of equations, so all options should be marked as "No."

Would you like further details or have any questions?

Here are some related questions for further exploration:
1. How do you solve systems of linear equations using substitution?
2. What is the graphical interpretation of a system of linear equations?
3. How can we use the elimination method to solve a system of equations?
4. What does it mean if a system of equations has no solution?
5. How can you verify solutions using matrix methods?

**Tip:** Always check a solution for all equations in a system—satisfying just one isn't enough!

For each ordered pair, determine whether it is a solution to the system of equations: 3x - 2y = -4 and 2x + 5y = -9

This math problem demonstrates how to solve a system of linear equations using substitution. Test ordered pairs (4, 8), (0, 3), (8, -5), and (-1, -2) to determine if they satisfy the system: 3x - 2y = -4 and 2x + 5y = -9. Learn algebra techniques for Grades 9-11.

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