
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
Solve for $x$ and $y$ if 
\[ 9x^2 - 25y^2 = 0 \]
A) \( x = 3y \) and \( x = -3y \)  
B) \( x = \frac{5}{3}y \) and \( x = -\frac{5}{3}y \)  
C) \( x = 5y \) and \( x = -5y \)  
D) No solution

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