
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
A ray passes through point \( A(2,3) \) and strikes the line \( l: x + y + 1 = 0 \). After reflection, the ray passes through point \( B(1,1) \). Find the equations of the lines on which the incident ray and the reflected ray lie.

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