
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 system of equations:
\[ \left\{ \begin{array}{l}
3x_{1} - 5x_{2} = 2, \\
2x_{1} + 4x_{2} = 5.
\end{array} \right. \]

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