
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 two planar vectors $\overrightarrow{a}=(x_1,y_1)$ and $\overrightarrow{b}=(x_2,y_2)$. If $|\overrightarrow{a}|=2$, $|\overrightarrow{b}|=3$, and $\overrightarrow{a} \cdot \overrightarrow{b}=-6$, 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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