
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 the four equations: $\textbf{(1)}\ 4y-3x=15 \qquad\textbf{(2)}\ -3x-4y=12 \qquad\textbf{(3)}\ 4y+3x=15 \qquad\textbf{(4)}\ 3y+4x=12$, determine the pair of lines that are perpendicular.

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