'systematically-solved' originates from the combination of 'systematic' and 'solved'. 'Systematic' comes from the Greek word 'systēmatikos', meaning 'pertaining to a system', and 'solved' is derived from the Latin word 'solvere', meaning 'to loosen or untie'.

'Systematic' evolved from the Greek 'systēmatikos' through Latin 'systematicus', and 'solved' from Latin 'solvere' through Old French 'solver', eventually forming the modern English 'solved'.

Initially, 'systematic' meant 'pertaining to a system', and 'solved' meant 'to loosen or untie'. Over time, 'systematically-solved' evolved to mean 'resolved in an organized manner'.