The image contains a system of linear equations:

1. $3x + 2y + z = 1$
2. $x + y + z = 0$
3. $5x + 3y - 2z = -4$

This is a system of three equations with three variables $x$, $y$, and $z$. To solve this system, I will use either substitution or elimination. Let me calculate the solution for this system of equations.

I'll proceed with the calculations.The solution to the system of equations is:

• $x = 3$
• $y = -5$
• $z = 2$

Would you like more details on the solving process, or do you have any further questions?

Here are five related questions to consider:

1. How can you solve a system of equations using the substitution method?
2. What are the conditions for a system of linear equations to have no solution?
3. How does the elimination method differ from substitution in solving linear systems?
4. Can you graphically represent the solution of a system of three variables?
5. What are the implications of a dependent system of equations?

Tip: For larger systems of equations, matrix methods like Gaussian elimination can be much faster and more efficient.