
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
If \(x\) and \(y\) are non-zero real numbers and \(x + y = xy\), find the value of \(\frac{1}{x} - \frac{1}{y}\).
A) \(\frac{1}{xy}\)  
B) \(-\frac{x+y}{x-y}\)  
C) \(\frac{x-y}{xy}\)  
D) \(-1\)  
E) \(0\)

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