
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
If $3x - 4y - 2z = 0$ and $x - 2y - 8z = 0, z \neq 0$, find the numerical value of $\frac{x^2 + 3xy}{y^2 + z^2}$.
A) $\frac{329}{61}$
B) $\frac{658}{61}$
C) $\frac{329}{122}$
D) $\frac{658}{122}$

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