
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
Harry and Sandy want to meet at a point along the line joining their positions, but not necessarily at the midpoint. Harry is now at the coordinate \((10, -3)\) and Sandy is at \((2, 7)\). They agree to meet at a point that divides the line segment connecting their locations in the ratio \(3:2\). At what coordinate will they meet?

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