
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
A two-digit number has the property that the sum of its unit digit and tens digit, added to their product, equals the two-digit number itself. Let $x$ be the tens digit and $y$ be the unit digit. Express the two-digit number in terms of $x$ and $y$. Set up an equation expressing the property of the two-digit number. Solve for $x$ in terms of $y$ and use this expression to determine the possible values of $y$.

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