
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

The planes are given by the equations:

\[
\begin{aligned}
& 3x + 4y - 2z = 5 \\
& 2x + 3y - z = 3
\end{aligned}
\]

Write in standard form the system of equations describing the line of intersection of these planes.

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