7.1 solving systems of equations part 2
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Unit 7. Solving Systems of Equations
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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
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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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Example 3.Solve the following system of quadratic equations
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Example 1.Solve the following system of linearquadratic equations
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Example 2a. You trySolve the following system of linearquadratic equations algebraically
Seethegraph
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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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3Situations
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Example 3a. You try!Solve the following system of quadratic equations algebraically
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Example 3.Solve the following system of quadratic equations graphically
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Homeworkp 435, #4abcp451, #5, 10