Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 5.1 - 1 4.1 Systems of Linear Equations In Two Variables.

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Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Systems of Linear Equations In Two Variables

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables Systems of Equations Suppose we wished to cut a 10-foot length of conduit into two pieces such that one piece is 4 feet longer than the other. We are looking for two numbers whose sum is 10 and whose difference is 4. If we let x represent the larger of the two numbers and y the other number, we immediately get two equations. We call such an arrangement a system of two equations in two variables.

Sec Systems of Linear Equations in Two Variables Solution of a Systems of Equations Given the following system of equations, determine whether the given ordered pair is a solution of the system. The ordered pair must be a solution of both equations to be a solution.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables Deciding Whether an ordered Pair is a Solution Given the following system of equations, determine whether the given ordered pair is a solution of the system.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables Possible Solutions for a Linear System of Two Variables

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables The Substitution Method for Solving Systems

4.1 Systems of Linear Equations in Two Variables Solving a System by Substitution

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables The Elimination Method for Solving Systems

4.1 Systems of Linear Equations in Two Variables Solving a System by Elimination

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables Solving a System with Fractional Coefficients

4.1 Systems of Linear Equations in Two Variables Some Special Systems Some systems of linear equations have no solution or an infinite number of solutions.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables Some Special Systems

4.1 Systems of Linear Equations in Two Variables Some Special Systems

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Systems of Linear Equations in Two Variables Some Special Systems

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