Starting the solution of a system of the equations, deal with what it the equations. Ways of the solution of the linear equations are rather well studied. The nonlinear equations most often hesitate. There are only one special cases, each of which is almost individual. Therefore studying receptions of the decision should be begun with the equations linear. Such equations can be solved even purely algorithmically.
A solution of a matrix in classical option is found by means of Gauss's method. This method is based on a consecutive exception of unknown variables. The decision is carried out for an expanded matrix, that is with the included column of free members. At the same time the coefficients making a matrix as a result of the carried-out transformations form a step or triangular matrix. Rather main diagonal all coefficients of a matrix, except free members, have to be brought to zero.