
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
The taxi fare standards in a certain city are as follows: the maximum distance allowed for the initial fare is $3$ kilometers, and an additional fee is charged for each kilometer beyond $3$ kilometers.  
Person A said: "I took a taxi for $10$ kilometers and paid $16.5$ yuan."  
Person B said: "I took a taxi for $14$ kilometers and paid $22.5$ yuan."  
Question:  
(1) What is the initial fare for the taxi? How much is the additional charge per kilometer beyond $3$ kilometers?  
(2) If Xiao Zhang took a taxi for $7$ kilometers, how much should he pay?

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