
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 or inequalities:<br/>$(1)$ Solve the system of equations: $\left\{\begin{array}{l}2x-y=5①\\ 3x+4y=2②\end{array}\right.$;<br/>$(2)$ Solve the system of inequalities $\left\{\begin{array}{l}-2x＜6①\\ 3(x-2)≤x-4②\end{array}\right.$, and find its integer solutions.

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