omit vs eliminate

omit and eliminate both are verbs.

Word	Noun	Adjective	Verb	Adverb
omit	No	No	Yes	No
eliminate	No	No	Yes	No

As verbs, eliminate is a hypernym of omit; that is, eliminate is a word with a broader meaning than omit:

Other hypernyms of omit include do away with, extinguish, get rid of.

omit (verb)	eliminate (verb)
leave undone or leave out	eliminate from the body
prevent from being included or considered or accepted	kill in large numbers
	terminate, end, or take out
	remove (an unknown variable) from two or more equations
	dismiss from consideration or a contest
	remove from a contest or race
	get rid of something