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Systems of Linear Equations In Two Variables
5.1 Systems of Linear Equations In Two Variables
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5.1 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. Copyright © 2010 Pearson Education, Inc. All rights reserved.
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5.1 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.
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5.1 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.
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5.1 Systems of Linear Equations in Two Variables
Possible Solutions for a Linear System of Two Variables Copyright © 2010 Pearson Education, Inc. All rights reserved.
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5.1 Systems of Linear Equations in Two Variables
The Substitution Method for Solving Systems Copyright © 2010 Pearson Education, Inc. All rights reserved.
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5.1 Systems of Linear Equations in Two Variables
Solving a System by Substitution
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5.1 Systems of Linear Equations in Two Variables
The Elimination Method for Solving Systems Copyright © 2010 Pearson Education, Inc. All rights reserved.
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5.1 Systems of Linear Equations in Two Variables
Solving a System by Elimination
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5.1 Systems of Linear Equations in Two Variables
Solving a System with Fractional Coefficients Copyright © 2010 Pearson Education, Inc. All rights reserved.
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5.1 Systems of Linear Equations in Two Variables
Some Special Systems Some systems of linear equations have no solution or an infinite number of solutions.
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5.1 Systems of Linear Equations in Two Variables
Some Special Systems Copyright © 2010 Pearson Education, Inc. All rights reserved.
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5.1 Systems of Linear Equations in Two Variables
Some Special Systems
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5.1 Systems of Linear Equations in Two Variables
Some Special Systems Copyright © 2010 Pearson Education, Inc. All rights reserved.
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