Systematically and Correctly

adverb

• In a systematic or consistent manner.
  • usage: "they systematically excluded women"
  • synonyms: consistently

(adv.) In a systematic manner; methodically.

adverb

• In an accurate manner.
  • usage: "the flower had been correctly depicted by his son"; "he guessed right"
  • synonyms: right, aright

(adv.) In a correct manner; exactly; acurately; without fault or error.