2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187314We consider the modified (or twisted) Yang-Baxter equations for the $SL_{q}(N)$ groups and $SL_{q}(N|M)$ supergroups. The general solutions for these equations are presented in the case of the linear quantum (super)groups. The introduction of spectral parameters in the twisted Yang-Baxter equation and its solutions are also discussed.11 pages, LaTeXQuantum Algebratext