
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
Line segment $\overline{AB}$ is extended past $A$ to point $Q$ such that $BQ:AB = 7:2.$ Then
\[\overrightarrow{Q} = x \overrightarrow{A} + y \overrightarrow{B}\]
for some constants $x$ and $y.$ Find the ordered pair $(x,y)$.

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