
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Solve the following system of equations:
\begin{align*}
4x - 3y + z &= -9, \\
2x + 5y - 3z &= 8, \\
x + y + 2z &= 5.
\end{align*}
Express your answer as an ordered triple $(x, y, z)$.

Present the answer in LaTex format: \boxed{Your answer}
user