judiciary vs judicial system

judiciary and judicial system both are nouns.

Word	Noun	Adjective	Verb	Adverb
judiciary	Yes	No	No	No
judicial system	Yes	No	No	No

As nouns, judiciary and judicial system are synonyms defined as:

judiciary and judicial system: the system of law courts that administer justice and constitute the judicial branch of government

Other synonyms of judiciary include judicatory, judicature.

judiciary (noun)	judicial system (noun)
persons who administer justice	the system of law courts that administer justice and constitute the judicial branch of government
the system of law courts that administer justice and constitute the judicial branch of government