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8 Solving Systems of Equations December 20, 2012 Unit 8. Solving Systems of Equations

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Page 1: 8 Solving Systems of Equations

8 Solving Systems of Equations December 20, 2012

Unit 8. Solving Systems of Equations

Page 2: 8 Solving Systems of Equations

8 Solving Systems of Equations December 20, 2012

Solving Systems of EquationsAlgebraically & Graphically

Last year/semester, you looked at solving linear equations (two linear equations (Ax + By + C = 0), two unknowns)

Graphically Algebraically

Substitution Elimination(Addition/Subtraction)

You used three methods

Page 3: 8 Solving Systems of Equations

8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012

We will now look at systems of equations that have...

­ one quadratic equation, one linear equation

­ two quadratic equations

The methods are still the same!

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8 Solving Systems of Equations December 20, 2012

Example 1.Solve the following system of linear­quadratic equations

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8 Solving Systems of Equations December 20, 2012

Example 2a. You trySolve the following system of linear­quadratic equations algebraically

Seethegraph

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8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012

Example 2b.Solve the following system of linear­quadratic equations graphically

Step 1. Put into drawing formulas

y = mx+by = a(x­p)2  + q

Seethegraph

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8 Solving Systems of Equations December 20, 2012

3Situations

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8 Solving Systems of Equations December 20, 2012

Example 3.Solve the following system of quadratic equations

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8 Solving Systems of Equations December 20, 2012

Example 3a. You try!Solve the following system of quadratic equations algebraically

Page 12: 8 Solving Systems of Equations

8 Solving Systems of Equations December 20, 2012

Example 3.Solve the following system of quadratic equations graphically

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8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012

Homeworkp 435, #4abcp451, #5, 10

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8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012

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8 Solving Systems of Equations December 20, 2012


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