
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
Given point $A(3,0)$, $\overrightarrow{EA}=(2,1)$, $\overrightarrow{EF}=(1,2)$, and point $P(2,0)$ satisfies $\overrightarrow{EP}=λ \overrightarrow{EA}+μ \overrightarrow{EF}$, find the value of $λ+μ$.

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