Chapter 7 – Solving Systems of Linear

Equations7.1 – Solving Linear Systems by

Graphing

7.1 – Solving Linear Systems by Graphing Today we will be learning about:

Solving a system of linear equations by graphing

Modeling a real-life problem using a linear system

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

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

7.1 – Solving Linear Systems by Graphing Example 2

Solve the linear system graphically.

x

y

7.1 – Solving Linear Systems by Graphing Example 3

Solve the linear system graphically.

-2x + y = 2 x + y = -1

x

y

7.1 – Solving Linear Systems by Graphing Example 4

Solve the linear system graphically.

3x + y = 11 x – 2y = 6

x

y

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

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

7.1 – Solving Linear Systems by Graphing

HOMEWORKPage 401

#12 – 16 even, 17 – 19, 20 – 34 even