
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 line with slope equal to $3$ and a line with slope equal to $-1$ intersect at the point $P(2,5)$. Determine the area of $\triangle PQR$ where $Q$ and $R$ are the x-intercepts of these lines.

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