
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 the ratio of \(3x - 2y\) to \(2x + 3y\) is \(\frac{5}{4}\), and additionally, it is given that \(x + y = 5\), find the ratio of \(x\) to \(y\).
A) \(\frac{23}{4}\)
B) \(\frac{46}{5}\)
C) \(\frac{23}{2}\) 
D) \(\frac{36}{5}\)
E) \(\frac{12}{5}\)

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