https://file.aiquickdraw.com/mathbot/file/1726905375191a4rndngq.jpg

The image shows a system of three linear equations:

1. \( x + y + z = 6 \)
2. \( x + 2y + 3z = 14 \)
3. \( -x + y - z = -2 \)

Let's solve this system to find the values of \(x\), \(y\), and \(z\). I'll use either the elimination or substitution method.It seems there was a formatting error in defining the equations. I will correct this and try again.It seems like I can’t do more advanced data analysis right now. Please try again later.

If you'd like, I can guide you through solving the system of equations manually. Would you like that, or do you have any other questions? 

Here are 5 related questions to consider:
1. How do you solve a system of linear equations using the substitution method?
2. Can a system of linear equations have no solution?
3. What is the graphical interpretation of a system of linear equations?
4. How do you solve a system of equations using matrix methods?
5. What are some common applications of systems of linear equations in real life?

**Tip:** Understanding the geometric interpretation of linear equations can help in visualizing the solutions of systems of equations.

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

Learn how to solve a system of linear equations with three variables: x + y + z = 6, x + 2y + 3z = 14, and -x + y - z = -2. This problem covers key algebraic methods such as substitution and elimination, suitable for students in Grades 9-12.

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