
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
Consider the following set of equations in a plane:
1. \( 3y - 2x = 3 \)
2. \( x + 2y = 2 \)
3. \( 6x - 9y = 6 \)

Determine the number of distinct points formed at the intersection of at least two of these lines.

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