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Published byKristopher Sutton Modified over 8 years ago

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**Solving Systems of Linear and Quadratic Equations**

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**Remember these? Systems of Linear Equations**

We had 3 methods to solve them. Method 1 - Graphing Solve for y. (6, – 4)

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**Remember these? (6, – 4) Systems of Linear Equations**

Method 2 - Substitution (6, – 4)

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**Remember these? (6, – 4) Systems of Linear Equations**

Method 3 - Elimination All 3 methods giving us the same answer (6,–4). (6, – 4)

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**Try the following. (12,1) Many solutions Same Line! NO solution**

1. Many solutions Same Line! 4. 5. 2. 3. NO solution Parallel Lines! 6. (12, – 4)

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Now let’s look at Systems of Linear and Quadratic Equations!

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**Solve the System Algebraically Use Substitution**

(0, 1) (1, 2) Answer: (0,1) (1,2)

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**Solve the System Algebraically Use Substitution**

(2, 2) Answer: (2,2)

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**Homework! Finish The Circle Worksheet through #14**

Solving Linear-Quadratic Systems Algebraically Worksheet – Both Sides

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**Solve the System Algebraically Use Substitution**

(5, –1) (1, – 5) Answer: (5, –1) (1, – 5)

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**Solve the System Algebraically Use Substitution**

(4, 3) (– 4, – 3) Answer: (4, 3) (–4, – 3)

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**Solve the System Algebraically Use ????**

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**Now let’s look at the Graphs of these Systems!**

Quadratic Parabola What does the graph of each look like? Classify each equation as linear/quadratic. Linear Line What is the solution to the system? Point of Intersection (-2, 0) Point of Intersection (1, -3 )

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**We have solved the following algebraically**

Now use your calculator to check it graphically. Answer: (0,1) (1,2) Answer: (2,2)

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**Equations must be solved for y!!**

Zoom 6: ZStandard The first equation can be entered as two separate entries: or a "list" notation may be used: Zoom 5: ZSquare Answer: (5, –1) (1, – 5)

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