
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 a certain city, the residential water pricing is as follows: for each household, if the monthly water usage does not exceed 15 tons, the price is 2 yuan per ton. If the usage exceeds 15 tons, the excess is charged at 3 yuan per ton. In one month, households A and B together paid a total of y yuan for water. It is known that the water usage for households A and B for that month was 5x and 3x tons, respectively.

(1) Find the expression for y as a function of x.
(2) If in that month, A and B jointly paid 114 yuan for water, find the water usage and payment for each household.

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