slang for "eliminate," 1936, originated at lunch counters, a cook's word for "none" when asked for something not available, probably rhyming slang for nix.
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nix n., interj.
as an answer, "nothing, none," 1789, from German nix, dialectal variant of nichts "nothing," from Middle High German nihtes, from genitive of niht, nit "nothing," from Old High German niwiht, from ni, ne "no" (from PIE root *ne- "not") + wiht "thing, creature" (compare naught). By extension, as an adverb, "no."