
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
Suppose \( x \) and \( y \) are nonzero real numbers such that \( \frac{2x+3y}{x-2y} = 3 \). What is the value of \( \frac{x+2y}{2x-y} \)?
A) \( \frac{11}{17} \)
B) \( \frac{9}{17} \)
C) \( \frac{18}{17} \)
D) \( \frac{20}{17} \)
E) \( \frac{12}{17} \)

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