
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
Answer the following two questions:
1. Find the coordinates of the intersection point of the lines $l_{1}: x-y+2=0$ and $l_{2}: x-2y+3=0$.
2. Find the distance from the point $P(1,-2)$ to the line $l: 3x+4y-10=0$.

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