Lesson on Substitution Method of Solving Equations
Presentation
•
Mathematics
•
8th Grade
•
Hard
Joseph Anderson
FREE Resource
5 Slides • 8 Questions
1
Learning
Goal
8
Let’s solve systems of
equations algebraically
Unit 4 ● Lesson 14
2
8
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Yesterday we looked at Substitution…
And More…
Substitution can also show
up more intensely that what
we’ve seen.
BUT
The process is still the same!
3
4
8
Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Open Up Resources, with adaptations CC BY Illustrative Mathematics.
Try One
9y = 4x - 3
x = 2y + 1
Identify
ONE
variable
Substitute
Solve
Plug solution
in to check if
it’s correct
5
Multiple Choice
Use Substitution to solve each system of equations:
y = 5x + 1
4x + y = 10
Infinite Solutions
6
Multiple Choice
Use Substitution to solve each system of equations:
2y+ 4x=10
y=-2x+7
Infinite Solutions
No Solutions
7
Multiple Choice
Use Substitution to solve each system of equations:
y = 4x - 1
2x + y = 17
8
Multiple Choice
Use Substitution to solve each system of equations:
y=3-2x
4x+4y=8
The solution is (1 , 1)
No Solutions
The solution is ( 3 , 3).
The solution is ( 2 , 2)
9
Multiple Choice
Use Substitution to solve each system of equations:
3x+4y=-5
x=-3-2y
No Solutions
10
Multiple Choice
Use Substitution to solve each system of equations:
y=2x+4
y-2x=4
No Solutions
Infinite Solutions
11
Multiple Choice
Use Substitution to solve each system of equations:
y=-3x+4
-6x-2y=-8
The solution is ( 0 , 4)
The solution is ( 2 , -2 )
The solution is ( 3 , -3).
The solution is ( -2 , 2).
12
Multiple Choice
Use Substitution to solve each system of equations:
x=y-1
-x+y=-1
The solution is (1 , 2)
The solution is ( 0 , 1)
Infinite Solutions
The solution is ( -1 , 0)
13
Without solving, identify 3 systems that you think would be the least difficult to solve and 3 systems that you think would be the most difficult to solve.
Choose 1 to solve now!
Learning
Goal
8
Let’s solve systems of
equations algebraically
Unit 4 ● Lesson 14
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