
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
On a modulo $m$ graph paper for $m=17$, graph the congruence $$2x \equiv 5y + 3 \pmod{17}.$$ Determine the single $x$-intercept $(x_0,0)$ and the single $y$-intercept $(0,y_0)$, where $0 \leq x_0, y_0 < 17$. What is the value of $x_0 + y_0$?

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