https://file.aiquickdraw.com/mathbot/file/17256376417349mahzgcg.jpg

The system of equations provided in the image is as follows:

\[
\begin{aligned}
1) & \quad 3x + 2y + 4z = 11 \\
2) & \quad 2x - y + 3z = 4 \\
3) & \quad 5x - 3y + 5z = -1
\end{aligned}
\]

To solve this, we can apply either substitution, elimination, or matrix methods like Gaussian elimination. Let's proceed by solving this system of equations step by step.

I'll calculate the solution now.The solution to the system of equations is:

\[
(x, y, z) = (-3, 2, 4)
\]

Let me know if you need further details or clarifications!

Here are 5 related questions:
1. How do you verify solutions to a system of equations?
2. Can this system be solved using substitution instead of elimination?
3. How do matrix methods like Gaussian elimination work for larger systems?
4. What are some common pitfalls when solving systems of equations by hand?
5. How does a system of equations change if it's inconsistent or dependent?

**Tip:** Always substitute your solution back into the original equations to verify its correctness.

Solve the system of equations: 3x + 2y + 4z = 11, 2x - y + 3z = 4, 5x - 3y + 5z = -1.

Learn how to solve the system of equations 3x + 2y + 4z = 11, 2x - y + 3z = 4, and 5x - 3y + 5z = -1 using methods like Gaussian elimination. Follow a detailed step-by-step solution suitable for high school and college students.

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