
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
In the Cartesian coordinate system xOy, F<sub>1</sub> and F<sub>2</sub> are respectively the left and right foci of the ellipse $\frac{x^2}{9} + \frac{y^2}{4} = 1$. If point P is on the ellipse and $PF_1$ = 2, then the value of $PF_2$ is _______.

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