
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 points $A(2,3)$, $B(4,5)$, $C(7,10)$, if $\overrightarrow{AP} = \overrightarrow{AB} + λ\overrightarrow{AC}$ $(λ∈R)$, and point $P$ is on the line $x-2y=0$, then the value of $λ$ is _______.

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