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It looks like you have a system of three equations with three variables \( x \), \( y \), and \( z \). Let's break down the system:

1. \( x + y + z = 57 \)
2. \( 9x + 5y + 10z = 7750 \)
3. \( 109x + 125y + 250z = 7595 \)

I can help you solve this system of equations using substitution or elimination. I'll calculate the solution for the variables \( x \), \( y \), and \( z \).

Let me solve it.The solution to the system of equations is:

\[
x = \frac{186155}{116} \approx 1604.78, \quad y = \frac{-203807}{116} \approx -1756.09, \quad z = \frac{6066}{29} \approx 209.17
\]

Would you like a detailed explanation of how these values were found, or do you have any further questions?

Here are 5 questions you can explore next:
1. How do you apply the substitution method to solve a system of equations?
2. What is the elimination method for solving systems of linear equations?
3. What are some common real-life applications of solving systems of equations?
4. How can you verify if the solution of a system of equations is correct?
5. How does solving a system of equations using matrices work?

**Tip:** Always verify the solution by substituting the values back into the original equations to ensure accuracy.

Solve the following system of equations:
1. x + y + z = 57
2. 9x + 5y + 10z = 7750
3. 109x + 125y + 250z = 7595

Learn how to solve the system of linear equations with three variables x, y, and z: x + y + z = 57, 9x + 5y + 10z = 7750, and 109x + 125y + 250z = 7595. This step-by-step guide covers algebraic methods, including substitution and elimination.

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