Elamitic language vs Elamite

Elamitic language and Elamite both are nouns.

Word	Noun	Adjective	Verb	Adverb
Elamitic language	Yes	No	No	No
Elamite	Yes	No	No	No

As nouns, Elamitic language and Elamite are synonyms defined as:

Elamitic language and Elamite: an extinct ancient language of unknown affinities; spoken by the Elamites

Other synonyms of Elamitic language include Elamite language, Elamitic, Susian, Susian language.

Elamitic language (noun)	Elamite (noun)
an extinct ancient language of unknown affinities; spoken by the Elamites	an extinct ancient language of unknown affinities; spoken by the Elamites
	a member of an ancient warlike people living in Elam east of Babylonia as early as 3000 BC