
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
A certain unit wants to purchase two types of electrical appliances, A and B. According to the budget, a total of 15750 yuan is needed. Buying one A-type appliance and two B-type appliances together costs 2300 yuan; buying two A-type appliances and one B-type appliance together costs 2050 yuan. How much does it cost to buy one A-type appliance and one B-type appliance respectively?

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