Adapt
- to fit or to suit to something;
- it distinctively implies modification to meet new conditions, frequently with the added suggestion of pliability or readiness;
- to change something in order to make it suitable for a new use or situation.
Adjust
- to bring into as close and exact correspondence or harmony as exists between the parts of a mechanism;
- in contrast with adapt, it suggests less of flexibility or tact in the agent and more and more of ingenuity or calculation <he must divine what men would welcome and shun what men might resent. He must delicately mold and adjust the popular will to his own>;
- to change something slightly to make it more suitable for a new set of conditions or to make it work better.
Żródło:
Merriam-Webster's Dictionary of Synonyms