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The solution to the system of equations is:

\[
x = 1 \quad \text{and} \quad y = -4
\]

Would you like further details or have any questions?

Here are five related questions to explore:
1. How can you verify the solution by substituting the values into the original equations?
2. Can you solve the system using substitution instead of elimination?
3. What happens if you change the coefficients slightly? How does the solution change?
4. How can you graphically represent the solution to this system of equations?
5. What does it mean if the system of equations has no solution or infinite solutions?

**Tip:** When solving systems of equations, it’s useful to explore different methods (substitution, elimination, or graphing) to ensure understanding of the solution.

Solve the system of equations: 2x - 9y = 38 and 4x + 5y = -16

Learn how to solve the system of linear equations: 2x - 9y = 38 and 4x + 5y = -16 using the elimination method. Detailed step-by-step solution provided for Grades 9-12.

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