
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
Given that \( x = x_{0} \) and \( y = y_{0} \) satisfy the system of equations 

\[
\left\{\begin{array}{l}
\frac{x}{3}+\frac{y}{5}=1 \\ 
\frac{x}{5}+\frac{y}{3}=1
\end{array}\right.
\]

If \( B=\frac{1}{x_{0}}+\frac{1}{y_{0}} \), find the value of \( B \).

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