Systematic is the more common word; it most often describes something that is done according to a system or method. Systemic describes what relates to or affects an entire system, be that system …

SYSTEMATIC definition: having, showing, or involving a system, method, or plan. See examples of systematic used in a sentence.

1. Characterized by, based on, or constituting a system: systematic thought. 2. Working or done in a step-by-step manner; methodical: a systematic worker; a systematic approach.

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Planning, expecting and arranging systematically (Definition of systematic from the Cambridge Advanced Learner's Dictionary & Thesaurus © Cambridge University Press)

Definition of systematic adjective from the Oxford Advanced Learner's Dictionary. done according to a system or plan, in a complete, efficient or determined way. The prisoner was subjected to systematic …

Systematic definition: Working or done in a step-by-step manner; methodical.