https://file.aiquickdraw.com/mathbot/file/17255707456547hn3p5xs.jpg

The system of equations in the image is as follows:

1. \( 2x = 4y - 5z - 33 \)
2. \( -y = -4x - 5 \)
3. \( 2y - 2x = 3z + 19 \)

Would you like me to solve this system for \(x\), \(y\), and \(z\)? Or do you have any specific requests, such as rearranging or simplifying the equations?

### Follow-up questions:
1. Do you want the system solved using substitution or elimination?
2. Would you like a step-by-step solution?
3. Are there any specific variable values you want to plug in?
4. Do you need a graph of these equations?
5. Would you prefer me to explain how to approach systems of equations generally?

**Tip:** For solving systems of equations, substitution is a great method if one equation is easy to solve for one variable first.

Solve the system of equations: 2x = 4y - 5z - 33, -y = -4x - 5, 2y - 2x = 3z + 19.

Learn how to solve a system of linear equations involving three variables with detailed step-by-step methods. This example includes the use of algebraic techniques such as substitution and elimination. Suitable for students in Grades 10-12.

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