The condition under which some equations are performed simultaneously relative to some variables is called the system of equations (SE). The solution to SE is an ordered set of values or numbers. If substitute them, each of parts of the system makes the equality valid.
Classical approach to the solution to the system of algebraic linear equations is Gauss method. The method of Gauss Jordan consists in a sequence of elimination of variables. That means that elementary manipulations put the system into the equisignificant system of triangular (or graduated) form from where all others variables are found starting form the last number.
Gauss Jordan Elimination calculator online
Gaussian elimination calculator
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