
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
Let $X,$ $Y,$ and $Z$ be points such that $\frac{XZ}{XY} = \frac{2}{3}$ and $\frac{ZY}{XY} = \frac{1}{3}.$ If $Y = (1, 9)$ and $Z = (-1, 3)$, what is the sum of the coordinates of $X$?

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