Applications of Systems of EquationsA series of free Basic Algebra Lessons from Brightstorm online Algebra series.
Mixture Problems Some word problems using systems of equations involve mixing two quantities with different prices. To solve mixture problems, knowledge of solving systems of equations. is necessary. Most often, these problems will have two variables, but more advanced problems have systems of equations with three variables. Other types of word problems using systems of equations include rate word problems and work word problems.
Rate Word Problems To solve rate word problems, knowledge of solving systems of equations is necessary. Rate word problems include problems dealing with rates, distances, time and wind or water current. Other types of word problems using systems of equations include money word problems and age word problems.
Work Word Problems It is possible to solve word problems when two people are doing a work job together by solving systems of equations. To solve a work word problem, multiply the hourly rate of the two people working together times the time spent working to get the total amount of time spent on the job. Knowledge of solving systems of equations is necessary to solve these types of problems.
Money Word Problems Setting up a system of equations is usually effective when solving money word problems and word problems involving coins. A knowledge of how to solve systems of equations is necessary to solve these types of equations. Other types of word problems using systems of equations include mixture problems, rate word problems, work word problems and age word problems.
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