
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
Given the system of equations $\left\{\begin{array}{l}2x-y=2\\ y=ax+b\end{array}\right.$ has a solution of $\left\{\begin{array}{l}x=2\\ y=2\end{array}\right.$, then the coordinates of the intersection point of the line $l_{1}$:$y=2x-2$ and the line $l_{2}$:$y=ax+b$ are ____.

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