# Solving Systems of Linear and Quadratic Equations

## Presentation on theme: "Solving Systems of Linear and Quadratic Equations"— Presentation transcript:

Solving Systems of Linear and Quadratic Equations

Remember these? Systems of Linear Equations
We had 3 methods to solve them. Method 1 - Graphing Solve for y. (6, – 4)

Remember these? (6, – 4) Systems of Linear Equations
Method 2 - Substitution (6, – 4)

Remember these? (6, – 4) Systems of Linear Equations
Method 3 - Elimination All 3 methods giving us the same answer (6,–4). (6, – 4)

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)

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

Solve the System Algebraically Use Substitution
(0, 1) (1, 2) Answer: (0,1) (1,2)

Solve the System Algebraically Use Substitution

Homework! Finish The Circle Worksheet through #14
Solving Linear-Quadratic Systems Algebraically Worksheet – Both Sides

Solve the System Algebraically Use Substitution
(5, –1) (1, – 5) Answer: (5, –1) (1, – 5)

Solve the System Algebraically Use Substitution
(4, 3) (– 4, – 3) Answer: (4, 3) (–4, – 3)

Solve the System Algebraically Use ????

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 )

We have solved the following algebraically