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4. Chapter. Systems of Linear Equations. The following are the only possibilities when solving a system of two linear equations One Solution No Solution Infinitely Many Solutions. Systems of Two Linear Equations. Geometric Interpretation. Graphing Substitution Elimination. - PowerPoint PPT PresentationTRANSCRIPT
Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas
4Chapter
Systems of Linear Equations
Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas
Chapter 4Chapter 4Systems 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 4Chapter 4Geometric Interpretation
Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas
Chapter 4Chapter 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 4Chapter 4The Substitution Method
4-2Page 204
Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas
Chapter 4Chapter 4The Elimination or Addition Method
4-3Page 212
Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas
Chapter 4Chapter 4
Linear Equations in Three Variables
4-4Page 217
Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas
Chapter 4Chapter 4 Solving a Systemin Three Variables
4-5Page 218
Copyright © 2000 by Addison Wesley Longman. All rights reserved. Edited by Ted Koukounas
Chapter 4Chapter 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 4Chapter 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 4Chapter 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 4Chapter 4Assignment
• Do all mathxl homework
• The Exam will be announced in Class.
Lets try to keep up with the due dates!