
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
The lines $x = \frac{1}{3}y + a$ and $y = \frac{1}{3}x + b$ intersect at the point $(3, 1)$. What is $a + b$?
A) $\frac{7}{3}$
B) $\frac{8}{3}$
C) $\frac{9}{3}$
D) $\frac{10}{3}$
E) $\frac{11}{3}$

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