2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149551Complete solution, more precisely, all invertible $4\times 4$ matrices $R,Q$ that solve Yang--Baxter system related to quantised braided groups, quantum doubles and other systems are given.8 pages, latex, no figures, minor Latex error was correctedQuantum AlgebraHigh Energy Physics - TheorySolution of Constant Yang-Baxter System in the Dimension Twotext