Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas 4 Chapter Systems of Linear Equations.

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Presentation transcript:

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas 4 Chapter Systems of Linear Equations

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Systems of Two Linear Equations The following are the only possibilities when solving a system of two linear equations a)One Solution b)No Solution c)Infinitely Many Solutions

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Geometric Interpretation

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Solving A System of Linear Equation inTwo variables 1.Graphing 2.Substitution 3.Elimination

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 The Substitution Method 4-2Page 204

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 The Elimination or Addition Method 4-3Page 212

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Linear Equations in Three Variables 4-4Page 217

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Solving a System in Three Variables 4-5Page 218

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Page 239: Geometry of Solutions of Linear Systems of Equations with Three Variables

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Geometry of a Linear System in Three Variables continued. a)One single Solution ( the intersecting point of the three lines below) b)No points in common to ALL three c)No points in common d)Points of a line are in common- (The solution is ALL points on that line) See page 239

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Solving an Applied Problem by Writing a System of Equations

Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas Chapter 4 Assignment Do all mathxl homework The Exam will be announced in Class. Lets try to keep up with the due dates!