
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 (systems):  
$(1)\left\{\begin{array}{l}2x+3y=8\\ 3x-5y=-7\end{array}\right.$;  
$(2)\frac{x-2}{x+2}-\frac{12}{{x}^{2}-4}=1$.

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