"Adapt" means to change in response to some new circumstance/situation. ex) Camels have adapted to their environment by storing water in the bumps on their backs. New situation = living in the desert where water is scarce. Change = storing water in the bumps on their backs. "Adjust" can have 2 meanings. One meaning is to make changes to something. Another meaning is the same as "adapt." ex) After eating dinner, I had to adjust my belt. In this case, I ate too much so my stomach bulged and my belt felt very tight. In this example, adjust = making the belt looser. ex) She hates fish, so she's having difficulty adjusting to life in Japan. New situation = living in Japan (where fish is very popular).