Let $x$ and $y$ be positive real numbers such that $2x + 3y = 5.$  Find the minimum value of
\[\frac{3}{x} + \frac{2}{y}.\]
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Let $x$ and $y$ be positive real numbers such that $2x + 3y = 5.$  Find the minimum value of
\[\frac{3}{x} + \frac{2}{y}.\]
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\frac{24}{5}
Let $x$ and $y$ be positive real numbers such that $2x + 3y = 5.$  Find the minimum value of
\[\frac{3}{x} + \frac{2}{y}.\]
train