
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
1. Find the equation of the line that passes through the intersection point of the lines $2x-y-3=0$ and $4x-3y-5=0$, and is perpendicular to the line $2x+3y+5=0$.
2. In $\triangle ABC$, it is known that $\sin A + \cos A = \frac{1}{5}$. Find the value of $\tan A$.

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