
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:<br/>$(1)\left\{\begin{array}{l}{2x-y=5}\\{7x-3y=20}\end{array}\right.$;<br/>$(2)\left\{\begin{array}{l}{3(x+y)-4(x-y)=16}\\{\frac{x+y}{2}+\frac{x-y}{6}=1}\end{array}\right.$.

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