
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 in triangle $\triangle ABC$, point $A(1, 2)$, and the equations of the medians on sides $AB$ and $AC$ are $5x-3y-3=0$ and $7x-3y-5=0$ respectively, find the general form of the equation of the line on which side $BC$ lies.

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