see also
The Gauss method
The Cramer method
The Inverse matrix method
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Solution of system of linear algebraic equations by the Gauss method

Using the Gauss Method to find a solution of equations.
The Gauss-Jordan Method (Gaussian elimination).
The meaning of the method: consistently exclude the variable for the variable, while in one of the lines will not be uniquely determined by the variable.

Select the number of variables, click Next . The resulting solution is stored in the file MS Word. For editing, you can use formula editors Microsoft Equation

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Little theory: the Gauss's method

Note: This system of equations will have a unique solution only if the determinant composed of coefficients of X 1 - n is not equal to zero. Find this key and making sure that it is not zero will be deciding on. If it is zero, then the system will not be unambiguous, the only solution and the program will not decide on and displays an error message. If the main determinant is not equal to zero, then construct a matrix similar to the main, just add another column with the numbers of the equal sign, in the conduct of your system of equations. Now, with the help of elementary transformations, we reduce the left side of the resulting matrix to a single mind.
Note that when working with the system do not need to write out the equations, since all the information about the system is contained in its expanded matrix. Bearing in mind the possible permutation of terms, the columns numbered according to the numbering of unknowns.

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