1. Examples Section 1 Solving System of Equations by Graphing
Chapter 2
Examples Section 1
Solving System of Equations by Graphing
Where and when do we meet?

2. Objective
You will be able to solve a linear system of equations by graphing and determine whether the system is consistent and independent, consistent and dependent, or inconsistent.

3. Vocabulary
System of equations - when two or more equations have the same variables.
Consistent - when a system has at least one solution (2 lines intersect).
Inconsistent - a system that has no solution (lines do not intersect, parallel lines).
Consistent and Independent - 2 or more lines intersect at exactly one point.
Consistent and Dependent - 2 or more lines are the same line.

4. Example 1 Solve the system of equations by graphing. x – 2y = 0

5. Example 2
A service club is selling copies of their holiday cookbook to raise funds for a project. The printer’s set-up charge is $200, and each book costs $2 to print. The cookbooks will sell for $6 each. How many cookbooks must the members sell before they make a profit?

6. Example 3
1.) Graph the system of equations and describe it as consistent & independent, consistent & dependent, or inconsistent.
x - y = 5
x + 2y = -4

7. Example 4
1.) Graph the system of equations and describe it as consistent & independent, consistent & dependent, or inconsistent.
9x - 6y = -6
6x - 4y = -4

8. Example 5
1.) Graph the system of equations and describe it as consistent & independent, consistent & dependent, or inconsistent.
15x - 6y = 0
5x - 2y = 10

9. Exit Post it For each type of system of linear equations:
In the following Sketches:
Name the type of solution
The number of solutions

10. Answers Consistent & Independent Consistent & Dependent Inconsistent
Intersecting Lines; 1 solution
Same Line;
Infinitely many Solutions
Parallel Lines;
No Solution

11. Assignment You need graph paper and a straight edge.
pg odd, ev