Abstract
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. With the aid of large-scale computers, it is possible to solve systems involving thousands of equations or inequalities, a task that previous generations would not have dared tackle. This chapter presents a study of the methods of substitution and elimination—methods that are applicable to all types of systems. It also discusses graphical methods for solving systems of linear inequalities and presents the application of these techniques to linear programming problems.
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