
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 that each meter of fabric can make $1$ doll $A$ or $3$ dolls $B$, and each blind box is paired with $1$ doll $A$ and $2$ dolls $B$, determine the system of equations representing $x$ meters of fabric used to make doll $A$ and $y$ meters of fabric used to make doll $B$ to make a perfect match.

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