accounting system vs method of accounting

accounting system and method of accounting both are nouns.

Word	Noun	Adjective	Verb	Adverb
accounting system	Yes	No	No	No
method of accounting	Yes	No	No	No

As nouns, accounting system and method of accounting are synonyms defined as:

accounting system and method of accounting: a bookkeeper's chronological list of related debits and credits of a business; forms part of a ledger of accounts

Other synonyms of accounting system include accounting.

accounting system (noun)	method of accounting (noun)
a bookkeeper's chronological list of related debits and credits of a business; forms part of a ledger of accounts	a bookkeeper's chronological list of related debits and credits of a business; forms part of a ledger of accounts