
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
Determine the solution for the system of equations:
\[
\begin{align*}
2x - 3y + z &= 8 \\
4x - 6y + 2z &= 16 \\
x + y - z &= 1
\end{align*}
\]
**A)** $x = 3, y = 1, z = 3$
**B)** $x = 2, y = 1, z = 2$
**C)** $x = \frac{11}{3}, y = 1, z = \frac{11}{3}$
**D)** $x = 4, y = 2, z = 4$
**E)** $x = 3, y = 2, z = 3$

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