
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
$(1)$ Solve the system of equations: $\left\{\begin{array}{l}{2x+y=4}\\{x+2y=5}\end{array}\right.$; <br/>$(2)$ Simplify first, then find the value: $(\frac{1}{x}+\frac{x^2-2x+1}{x^2-1})÷\frac{1}{x+1}$, where $x=-2$.

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