The uniform system of the linear equations means the fact that the free member of each equation is equal in a system to zero. Thus, this system represents linear combinations.

The solution of a system of the equations is difficult and fascinating. The system is more difficult, the it is more interesting to solve it. Most often in mathematics of high school the systems of the equations meet two unknown, but in the higher mathematics of variables maybe more. It is possible to solve systems by several methods.

That quickly and effectively to make calculations, simplify mathematical expressions. For this purpose use the mathematical ratios allowing to make expression is shorter, and to simplify calculations.

When in tasks is available N-unknown, the area of admissible decisions within the system of the limiting conditions is a convex polyhedron in N-dimensional space. Therefore, it is graphically impossible to solve such problem, here it is necessary to apply a simplex method of linear programming.