Definition: support oneself
Usage: he could barely exist on such a low wage; Can you live on $2000 a month in New York City?; Many people in the world have to subsist on $1 a day
Definition: continue to live through hardship or adversity
Usage: We went without water and food for 3 days; These superstitions survive in the backwaters of America; The race car driver lived through several very serious accidents; how long can a person last without food and water?
Definition: live longer than
Usage: She outlived her husband by many years
Definition: continue in existence after (an adversity, etc.)
Usage: He survived the cancer against all odds