
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
Graph the two congruences $$y \equiv 4x + 3 \pmod{17}$$ and $$y \equiv 13x + 14 \pmod{17}$$ on modulo $17$ graph paper. Determine the sum of the $x$-coordinates of the points where these graphs intersect.

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