7.5 Solve Special Types of Linear Systems.notebook
October 22, 2013
Lesson: 7.5 Date:
LT#6­7: I can determine if a solution has zero, one, or infinitely many solutions.
nbp.21
I know what the graph of a system with zero, one, or infinitely many solutions looks like.
Types of Linear Systems
1) consistent independent system 2) consistent dependent system 3) inconsistent system Example:1
Solve the system.
Example:2
Solve the system.
Summary
7.5 Solve Special Types of Linear Systems.notebook
October 22, 2013
IF Solve the linear system.
9x + 2y = 38
3x ­ 5y = 7
3x ­ 7y = 5
9y = 5x + 5
7.5 Solve Special Types of Linear Systems.notebook
HW 7.4 p.454(1,15,19,20,24,27,30,33,38,40)
24) (­1, 2)
30) (2, ­2) 38) $.99 and $9.99
October 22, 2013
7.5 Solve Special Types of Linear Systems.notebook
1­4
5­8
worksheet
Spaeth
Spaeth
Spaeth
9­12
Spaeth
13­16
Spaeth
17­20
Spaeth
21­24
October 22, 2013
7.5 Solve Special Types of Linear Systems.notebook
Lesson: 7.5 Date:
I can determine if a solution has zero, one, or infinitely LT#5: October 22, 2013
nbp.21
many solutions using equations and graphs.
Types of Linear Systems
1) consistent independent system one solution
2) consistent dependent system infinite solutions
No solutions
3) inconsistent system Example:1
Solve the system.
Example:2
Solve the system.
Summary
compare slope and y­intercept to determine how many solutions a system has.
G
7.5 Solve Special Types of Linear Systems.notebook
October 22, 2013
7.5 CW #1­Solve the system­nbp.22
How many solutions does each Linear System have? Show work.
A pizza parlor fills two pizza orders. Find the cost of one medium pizza.
7.5 Class work
1) Complete 2) Check answers
3) Raise hand (Spaeth) ­pink sheet
4) Start 7.5 HW ­p.462(1­7,14­23)
1. one solution
2. 0 = 9 false
1­4
no solution
3. 0 = 0
infinitely many solutions
4. infinitely many solutions, cannot
figure out price of medium pizza.
7.5 Solve Special Types of Linear Systems.notebook
HW 7.5 p.462(1­7,14­23)
October 22, 2013
7.5 Solve Special Types of Linear Systems.notebook
HW 7.5 p.462(1­7,14­23)
October 22, 2013
16) infinitely many solutions
2) Consistent dependent system
18) infinitely many solutions
4) The graph would only show one line.
6) C; no solution
20) no solutions
22) (3, 0)