The Aztec people did have social classes, and the rich Aztecs did indeed have houses. The Aztec empire was known for its advanced civilization and their architecture reflected their wealth and status. The homes of the wealthy Aztecs were typically large and spacious, with multiple rooms and courtyards. They were often made of stone or adobe bricks and decorated with elaborate carvings, sculptures, and paintings. The houses of the rich Aztecs also included features such as private gardens, steam baths, and even indoor pools.