The values of \(x\), \(y\), and \(z\) for the given system of equations are:

\[
x = 5, \quad y = -8, \quad z = -3.
\]

Would you like more details on how these values were found, or do you have any questions?

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Here are 5 related questions to consider:

1. How can systems of equations be solved using matrix methods like Gaussian elimination?
2. What are the advantages of using the elimination method over substitution?
3. How can graphing be used to solve a system of linear equations?
4. How do you solve a system of linear equations in more than three variables?
5. What are real-world applications of solving systems of linear equations?

**Tip:** When solving a system of equations, verify your solution by substituting the values back into all the original equations.

Explore how to solve systems of equations involving variables x, y, and z. This detailed explanation covers the application of matrix methods like Gaussian elimination to find the values of x = 5, y = -8, and z = -3. Suitable for students in Grades 9-12.

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