8 solving systems of equations
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8 Solving Systems of Equations December 20, 2012
Unit 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
8 Solving Systems of Equations December 20, 2012
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!
8 Solving Systems of Equations December 20, 2012
Example 1.Solve the following system of linearquadratic equations
8 Solving Systems of Equations December 20, 2012
Example 2a. You trySolve the following system of linearquadratic equations algebraically
Seethegraph
8 Solving Systems of Equations December 20, 2012
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
8 Solving Systems of Equations December 20, 2012
3Situations
8 Solving Systems of Equations December 20, 2012
Example 3.Solve the following system of quadratic equations
8 Solving Systems of Equations December 20, 2012
Example 3a. You try!Solve the following system of quadratic equations algebraically
8 Solving Systems of Equations December 20, 2012
Example 3.Solve the following system of quadratic equations graphically
8 Solving Systems of Equations December 20, 2012
8 Solving Systems of Equations December 20, 2012
8 Solving Systems of Equations December 20, 2012
Homeworkp 435, #4abcp451, #5, 10
8 Solving Systems of Equations December 20, 2012
8 Solving Systems of Equations December 20, 2012
8 Solving Systems of Equations December 20, 2012
8 Solving Systems of Equations December 20, 2012
8 Solving Systems of Equations December 20, 2012
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