
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
Given the equations \( 2x - 3y - z = 0 \) and \( x + 3y - 14z = 0 \), where \( z \neq 0 \), find the value of the expression \(\frac{x^2 - xy}{y^2 + 2z^2}\).
A) \( \frac{5}{11} \)
B) \( \frac{7}{11} \)
C) \( \frac{9}{11} \)
D) \( \frac{10}{11} \)

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