
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
Let $n$ be the number of pairs of values of $b$ and $c$ such that the graphs of the equations $2x + 3by + c = 0$ and $cx + 4y + 16 = 0$ are identical. Find $n$.
A) 0
B) 1
C) 2
D) Infinite

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