
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 order to better manage the water quality of rivers and protect the environment, a pollution control company in a city decided to purchase 10 sewage treatment equipment. There are two models, $A$ and $B$, available for selection. The cost of each unit of model $A$ is $a$ thousand yuan, and the cost of each unit of model $B$ is $b$ thousand yuan. According to the investigation, purchasing one unit of model $A$ costs 3 thousand yuan more than purchasing one unit of model $B$, and purchasing 2 units of model $A$ costs 3 thousand yuan less than purchasing 3 units of model $B$. Find the values of $a$ and $b$.

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