
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 \(x\) is inversely proportional to \(y\). Let \(x_1,x_2\) be two nonzero values of \(x\) such that \(\frac{x_1}{x_2} = \frac{3}{5}\). Let the corresponding \(y\) values be \(y_1, y_2\). If \(y_1, y_2\) are nonzero, find the value of \(\frac{y_1}{y_2}\).

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