
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 real numbers \( a \), \( b \), and \( c \) that satisfy 
\[
\begin{aligned}
2a + 13b + 3c &= 90, \\
3a + 9b + c &= 72,
\end{aligned}
\]
calculate \( \frac{3b + c}{a + 2b} \).

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