3.1.notebook
August 30, 2016
Table of Contents
Bell Work
Which method would be best to solve the linear systems?
Explain why you chose that method.
1. x – 2y = 4
3x – 6y = 8
2.
4x – 10y = 8
­14x + 35y = ­28
Domain & Range
3.2 Solve Linear Systems Algebraically
Substitution Method
Elimination Method
p. #
p. #
p. #
..
Aug 26­3:30 PM
Aug 24­9:57 AM
3.1 Solve Linear Systems by Graphing
Objective
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8/30
Classifying Systems
~Consistent: system has at least 1 solution
­­Independent: has EXACTLY 1 solution
­­Dependent: INFINATELY man solutions
~Inconsistent: system has no solution
Students will learn how to solve systems
of linear equations graphically by looking
for the point of intersection.
lines are
parallel
Aug 30­8:45 AM
lines int.
at 1 point
lines coincide
a.k.a. same line
Aug 6­1:33 PM
Solve the system. Then classify the system.
Ex. 1: Graph the linear system and estimate the solution.
Then check the solution algebraically.
4x + y = 8
2x – 3y = 18
Ex. 2: 4x – 3y = 8
8x – 6y = 16
Ex. 3: 2x + y = 4
2x + y = 1
y
y
y
x
x
x
Aug 6­2:46 PM
Aug 6­2:48 PM
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3.1.notebook
August 30, 2016
Ex. 4:
You ride an express bus from the center of town to your
street. You have two payment options. Option A is to buy a
monthly pass and pay $1 per ride. Option B is to pay $2.50
per ride. A monthly pass costs $30. After how many rides
will the total cost of the two options be the same?
Wrap It Up…
1. What is a solution of a system of linear equations look
like on a graph?
2. Explain what each classification means and looks like on
a graph.
y
x
3. When is it best to use each method?
Aug 6­2:49 PM
Aug 6­2:49 PM
Pair & Share!
Assignment: P. 164 #31­36
** Due Tues. Aug. 30**
Solve the system using any method. Then check by graphing.
#31­32 are on previous page.
HW #31: 4x ­ 10y = 18
HW #32: 3x ­ y = ­2
­2x + 5y = ­9
5x + 2y = 15
Aug 24­4:03 PM
33. x + 2y = ­8
3x ­ 4y = ­24
35. 3x + y = 15
­x + 2y = ­19
34. 2x + 3y = ­6
3x ­ 4y = 25
36. 4x ­ 3y = 8
­8x + 6y = 16
Aug 6­2:57 PM
Homework Help!
33. x + 2y = ­8
3x ­ 4y = ­24
Substitution
Elimination
Aug 30­8:48 AM
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