
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 equations:

(1) $\begin{cases} 3x-5y=3, \\ \frac{x}{2}- \frac{y}{3}=1. \end{cases}$           (2) $\frac{x}{x-1}+1= \frac{3}{2x-2}$

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