cut out vs eliminate

cut out is an adjective but eliminate is not an adjective.

Word	Noun	Adjective	Verb	Adverb
cut out	No	Yes	Yes	No
eliminate	No	No	Yes	No

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

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

cut out (adjective)	eliminate (adjective)
having been cut out

cut out (verb)	eliminate (verb)
delete or remove	eliminate from the body
cease operating	kill in large numbers
intercept (a player)	terminate, end, or take out
strike or cancel by or as if by rubbing or crossing out	remove (an unknown variable) from two or more equations
form and create by cutting out	dismiss from consideration or a contest
cut off and stop	remove from a contest or race
	get rid of something