1. Chapter 7 – Solving Systems of Linear Equations 7.1 – Solving Linear Systems by Graphing

2.  Today we will be learning about: Solving a system of linear equations by graphing Modeling a real-life problem using a linear system

3. 7.1 – Solving Linear Systems by Graphing  Our goals for this lesson are: Define a system of linear equations and a solution of a system Solve a system of linear equations by graphing Model a real-life problem using a linear system, such as predicting the number of visits at Internet sites

4. 7.1 – Solving Linear Systems by Graphing  Example 1 Use the graph to solve the system of linear equations.  y = 3x – 12  y = -2x + 3 x y

5. 7.1 – Solving Linear Systems by Graphing  Example 2 Solve the linear system graphically.   x y

6. 7.1 – Solving Linear Systems by Graphing  Example 3 Solve the linear system graphically.  -2x + y = 2  x + y = -1 x y

7. 7.1 – Solving Linear Systems by Graphing  Example 4 Solve the linear system graphically.  3x + y = 11  x – 2y = 6 x y

8. 7.1 – Solving Linear Systems by Graphing  Example 5 You and a friend go to Taco Bell for lunch. You order three soft tacos and three burritos and your bill totals $11.25. Your friend’s bill is $10 for four soft tacos and two burritos. How much do soft tacos cost? How much do burritos cost? x y

9. 7.1 – Solving Linear Systems by Graphing  Example 6 You are running the concession stand at a basketball game, selling hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made a total of $78.50. You sold a total of 87 hot dogs and sodas combined. How many hot dogs were sold? How many sodas were sold? x y

10. 7.1 – Solving Linear Systems by Graphing HOMEWORK Page 401 #12 – 16 even, 17 – 19, 20 – 34 even