
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
Find the values of $x$ and $y$ if \(\frac{16^x}{4^{x+y}} = 64\) and \(\frac{4^{x+y}}{2^{5y}} = 16\), where $x$ and $y$ are real numbers.
A) 1
B) 3
C) 6
D) 8
E) 10

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