
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
Determine the points of intersection for the following lines:
1. \(3x + 2y - 12 = 0\)
2. \(5x - 2y - 10 = 0\)
3. \(x = 3\)
4. \(y = 3\)
5. \(2x + y - 8 = 0\)
A) 3 points
B) 4 points
C) 5 points
D) 6 points

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