
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 that the graphs of \( y=h(x) \) and \( y=j(x) \) intersect at \( (3,3) \), \( (5,10) \), \( (7,21) \), and \( (9,21) \), determine the point where the graphs of \( y=h(3x) \) and \( y=3j(x) \) must intersect and compute the sum of the coordinates of that point.

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