
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 $x$ and $y$ are non-zero real numbers such that
\[|x|+y=5 \quad \text{and} \quad |x|y+x^2=5,\]
determine the integer nearest to $x-y$.
A) -5
B) -3
C) 0
D) 2
E) 5

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