The system shows a system of linear equations:

1. $x_1 - 2x_2 + 3x_3 = 9$
2. $2x_1 - 3x_2 + 4x_3 = 15$
3. $3x_1 + x_2 - x_3 = 18$

Let’s solve this system step by step. We can use various methods such as substitution or elimination, but in this case, using matrix methods (like Gaussian elimination) could simplify the process.

Would you like to proceed with solving it this way, or would you prefer a different approach?