
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
Three lines are defined as follows: the first line has a slope of $\frac{3}{4}$ and passes through the point $(3,3)$, the second line has a slope of $-1$ and also passes through $(3,3)$, and the third line is $x+y=14$. Find the area of the triangle formed by these three lines.
A) 1.5
B) 2
C) 2.5
D) 3

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