https://file.aiquickdraw.com/mathbot/file/1726802357579dk3zu5wu.jpg

The system of equations in the image is:

\[
\begin{aligned}
1. \quad & x + y + z = 6 \\
2. \quad & x + 2y + 3z = 14 \\
3. \quad & -x + y - z = -2
\end{aligned}
\]

Let's solve this system of equations using either substitution, elimination, or matrix methods.

I'll proceed with solving it.It seems like I can’t do more advanced data analysis right now. Please try again later.

However, I can guide you through solving the system manually if you'd like.

Do you want to go over the steps together? Here are some related questions:
1. What are the common methods for solving systems of equations?
2. How can substitution be used to solve systems of equations?
3. Can matrix methods, such as Gaussian elimination, be applied to larger systems?
4. How does the determinant help determine if a system has a unique solution?
5. How does row reduction simplify solving a system?

**Tip:** Always double-check the arithmetic while solving systems of equations to avoid small errors that can affect the final answer.

Solve the system of equations: x + y + z = 6; x + 2y + 3z = 14; -x + y - z = -2.

Learn how to solve a system of three linear equations: x + y + z = 6; x + 2y + 3z = 14; -x + y - z = -2. This step-by-step solution involves algebraic methods such as substitution, elimination, and matrix approaches. Suitable for students in Grades 10-12.

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