1 / 12

Solving Systems of Linear and Quadratic Equations

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

tieve
Download Presentation

Solving Systems of Linear and Quadratic Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Solving Systems of Linear and Quadratic Equations

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

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

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

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

  6. Solve the System AlgebraicallyUse Substitution (0, 1) (1, 2) Answer: (0,1) (1,2)

  7. Solve the System AlgebraicallyUse Substitution (2, 2) Answer: (2,2)

  8. Solve the System AlgebraicallyUse Substitution (5, –1) (1, – 5) Answer: (5, –1) (1, – 5)

  9. Solve the System AlgebraicallyUse Substitution (4, 3) (– 4, – 3) Answer: (4, 3) (–4, – 3)

  10. Now let’s look at the Graphs of these Systems! Quadratic What does the graph of each look like? Parabola 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 )

  11. We have solved the following algebraically Now use your calculator to check it graphically. Answer: (0,1) (1,2) Answer: (2,2)

  12. 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)

More Related