
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 that $\left\{{\begin{array}{l}x=1\\ y=1\end{array}}\right.$ and $\left\{{\begin{array}{l}x=2\\ y=3\end{array}}\right.$ are solutions of the linear equation $y=kx+b$ with respect to $x$ and $y$, determine the values of $k$ and $b$.

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