
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
There are three types of goods, A, B, and C. If a person buys 3 units of A, 7 units of B, and 1 unit of C, the total cost is 24 yuan; if the person buys 4 units of A, 10 units of B, and 1 unit of C, the total cost is 33 yuan. How much does it cost to buy one unit of each, A, B, and C?

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