3.2 Day 2.notebook
August 29, 2016
Bell Work
Objective
3x + y = 16
------------------------
2x ­ 3y = ­4
1. What variable should you get alone for step 1?
2. What is the solution for the system?
Students will learn how to
solve a system algebraically by
using the elimination method.
Aug 26­8:05 AM
Aug 29­8:13 AM
3.2 Solve Linear Systems Algebraically
Day 2: Elimination
Table of Contents
Domain & Range
3.2 Solve Linear Systems Algebraically
Substitution Method
.
Aug 24­9:57 AM
p. #
p. #
8/29
Elimination Method:
Step 1­ Multiply one or both of the equations by a
constant to obtain coefficients that differ only in
sign for one of the variables.
Step 2­ Add the revised equations from step 1.
Combining like terms will eliminate one of the
variables. Solve for the remaining variable.
Step 3­ Substitute the value obtained in step 2 into
either of the original equations and solve for the
other variable.
Ex. 2: Solve the system using the elimination method.
3x – 7y = 10
6x – 8y = 8
Aug 6­2:58 PM
You Practice!
You Practice!
3x + 3y = ­15
3x ­ 6y = 9
5x ­ 9y = 3
­4x + 7y = ­16
Aug 24­3:50 PM
Aug 24­3:50 PM
1
3.2 Day 2.notebook
August 29, 2016
Wrap It Up…
1. How do you know which variable to eliminate?
Pair & Share!
2. How do you eliminate a variable?
HW #18: 4x ­ 3y = 10
HW #19: 5x ­ 3y = ­3
8x ­ 6y = 20
2x + 6y = 0
3. When do you have infinitely many solutions?
Aug 6­3:01 PM
Aug 24­4:03 PM
Homework Help!!
Assignment: P. 164 #18-23
** Due Tues. Aug. 30**
21. 2x + 5y = 14
3x ­ 2y = ­36
Solve the system using the elimination method. #18-19 are on previous page.
20. 10x ­ 2y = 16
5x + 3y = ­12
22. 7x + 2y = 11
­2x + 3y = 29
21. 2x + 5y = 14
3x ­ 2y = ­36
23. 3x + 4y = 18
6x + 8y = 18
Aug 6­2:57 PM
Aug 29­7:55 AM
2