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Ch 10 Outline and Summary.pptx

Ch 10 Outline and Summary.pptx - Systems of Equations...

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Systems of Equations Chapter 10
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10.1 Systems of Linear Equation in 2 Variables Systems of Linear Equations and Their Solutions Solving Systems of Linear Equations with 2 Variables Substitution Method. P.680 Elimination Method p.681 X Graphical Method (briefly – not important) The Number of Solutions of a Linear System in Two Variables p.683-685 Exactly One Solution Inconsistent – No solution Dependent – Infinitely many solutions Modeling with Linear Systems p.685
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10.2 Systems of Linear Equation in Several Variables Solving a Linear System – Triangular Form p.691 Use Operations that Yield an equivalent System p.691 – convert in to a system in triangular form Operations that yield an equivalent system: 1. Add a nonzero multiple of one equation to another 2. Multiply an equation by a nonzero constant 3. Interchange the positions of two equations Use Back- Substitution to solve triangular system 3 Types of Linear System p.693 Exactly One Solution
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