I live in Las Vegas have two combined central AC/heating systems. One for downstairs, one for upstairs. The heat comes from gas furnaces. The AC comes from a typical central AC unit. They are considered combined because they share air ducting and thermostats for each unit. Thermostats are app controlled and can be adjusted by smartphone or website.
This is a typical setup here, but lots of different types exist. Some use evaporative cooling, some have heat pumps (lines are ran underground and use a geothermal heat transfer grid for heating & cooling) and some places still have old radiant type heaters in each room instead. Some houses in the north, especially the much older ones, may still have oil burning furnaces in their basement.
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