
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
Find the eccentricity of the hyperbola $$\frac {x^{2}}{a^{2}}$$\- $$\frac {y^{2}}{b^{2}}$$\=1, whose right focus $F$ intersects a line with a slope of $$\frac {2}{3}$$ at points $A$ and $B$ on the asymptotes, and $$\overrightarrow {FA}$$\=7 $$\overrightarrow {BF}$$.

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