Abstract
This chapter discusses the systems of equations and inequalities. Many problems in business and engineering require the solution of systems of equations and inequalities. In fact, systems of linear equations and inequalities occur with such frequency that mathematicians and computer scientists have devoted considerable energy to devising methods for their solution. The chapter discusses the methods of substitution and elimination that are applicable to all types of systems. It is possible for a system of equations to have no solutions. A system of equations may even have an infinite number of solutions. A system consisting only of equations that are of the first degree in x and y is called a system of linear equations or simply a linear system. The method of graphing has severe limitations as the accuracy of the solution depends on the accuracy of the graph. While solving a system of equations by graphing, one must estimate the coordinates of the point of intersection. The method of substitution provides exact answers but suffers from the disadvantage that it is difficult to program for use in a computer.
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