
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
In the work "Equation Theory" by the Qing Dynasty mathematician Mei Wendin, there is a problem: If three acres of mountain fields and six acres of land together yield crops equivalent to 4.7 acres of actual fields; and if five acres of mountain fields and three acres of land together yield crops equivalent to 5.5 acres of actual fields, then how many acres of actual fields does each acre of mountain fields and each acre of land yield? Please solve this problem.

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