
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
A pair of lines are parameterized as follows:
First line:
\[\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 2 \\ 3 \end{pmatrix} + s \begin{pmatrix} 3 \\ -4 \end{pmatrix}.\]
Second line:
\[\begin{pmatrix} x \\ y \end{pmatrix} = \begin{pmatrix} 7 \\ -5 \end{pmatrix} + v \begin{pmatrix} 5 \\ 1 \end{pmatrix}.\]
Determine the point of intersection of these lines.

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