System and Equations

System and Equations

In mathematics? a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables. For example? \begin{alignat}{7} 3x &&\; + \;&& 2y &&\; - \;&& z &&\; = \;&& 1 & \\ 2x &&\; - \;&& 2y &&\; + \;&& 4z &&\; = \;&& -2 & \\ -x &&\; + \;&& \tfrac{1}{2} y &&\; - \;&& z &&\; = \;&& 0 & \end{alignat} is a system of three equations in the three variables x? y? z\?\!. A solution to a linear system is an assignment of numbers ...