1. Chapter 7 – Systems of Linear Equations and Inequalities
7.5 – Special Types of Linear Systems

2. 7.5 – Special Types of Linear Systems
Today we will learn how to:
Identify linear systems as having one solution, no solution, or infinitely many solutions
Model real-life problems using a linear system

3. 7.5 – Special Types of Linear Systems
NUMBER OF SOLUTIONS OF A LINEAR SYSTEM

4. 7.5 – Special Types of Linear Systems
Example
Solve the system and interpret the results.
6x – 2y = 10
-3x + y = 12

5. 7.5 – Special Types of Linear Systems
Example
Solve the system and interpret the results.
3x + y = 4
-6x – 2y = -8

6. 7.5 – Special Types of Linear Systems
HOMEWORK
page 429
#12 – 17, 18 – 28 even