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If you already know how to solve Determined Compatible Systems (DCS), that is, systems with a unique solution using the Gauss method: • Gauss method for solving linear systems with... In this video I explain, step by step, how to apply the Gauss Method to a system of three linear equations with three unknowns, when it comes to an Indeterminate Compatible System (ICS), with infinite solutions, or an Incompatible System (IS), which has no solution. This explanation is for 1st year of Baccalaureate, because in this year matrices have not yet been learned and the method is applied to the equations without using matrix notation.