method of accounting vs accounting system

method of accounting and accounting system both are nouns.

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

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

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

Other synonyms of method of accounting include accounting.

method of accounting (noun)	accounting system (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