
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 the planar vectors $\overrightarrow{a}=(x_{1},y_{1})$, $\overrightarrow{b}=(x_{2},y_{2})$, if $|\overrightarrow{a}|=3$, $|\overrightarrow{b}|=4$, and $\overrightarrow{a}\cdot\overrightarrow{b}=-12$, find the value of $\frac{x_{1}+y_{1}}{x_{2}+y_{2}}$.

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