The 2x2 systems application shows in an algebraic way, the complete and step-by-step resolution of systems of 2 simultaneous linear equations with 2 unknowns by using 4 different methods; three reduction methods: by addition or subtraction, by substitution, and by equalization and finally by the method of Cramer or by determinants. Of 12 levels in total, four of them refer to the study of systems where the coefficients of the unknowns are whole numbers and 8 where the coefficients of the unknowns are positive and / or negative fractions, whether they are common or improper and / or common fractions decimal fractions. The verification of results is also given completely allowing the user to check and compare their own results using other means of solution.