
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 systems of equations:

(1)
\begin{cases}
3x - 2y = 6 \
2x + 3y = 17
\end{cases}

(2)
\begin{cases}
x + 4y = 14 \
\frac{x-3}{4} - \frac{y-3}{3} = \frac{1}{12}
\end{cases}

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