

Solving Systems of Equations Algebraically
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•
Mathematics
•
8th Grade
•
Medium
Standards-aligned

Agustin Maizares
Used 122+ times
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10 Slides • 5 Questions
1
Solving Systems of Equations Algebraically
Chapter 3 - Lesson 8
Page 244 to 249

2
What is SUBSTITUTION?
to replace a variable with a number (or an expression).
3
example 1: solve the follwing equation y=5x , if x=2
4
Example 2: The perimeter (P) of a square equals the length of one side times 4. Find the perimeter of a triangle if one side is 30 meters.
5
Using SUBSTITUTION to Solve Systems of Equations
y=2x−8
y=2
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What does the solution to the system of equations mean?
y=2x-8
y=2
if we graph the lines, they intesect at one point.
7
Using SUBSTITUTION to Solve Systems of Equations
y=x−3
y=2x
8
Comparing the solution with the graphs of the lines
y=x-3
y=2x
Where do the two lines intesect?
9
Multiple Choice
Solve the system of equations algebraically
y=4
(-3,4)
(4,-3)
(3,-4)
(-3,4)
10
Multiple Choice
Solve the system of equations algebraically
y=x+6
y=3x
(3,9)
(-3,9)
(3,-9)
(-3,-9)
11
Multiple Choice
Solve the system of equation algebraically
y=x+2
(7,9)
(-7,9)
(7,-9)
(-7,-9)
12
Solve the following algebraically, then graph the lines on DESMOS to see what the lines look like and what type of solutions they have.
13
Multiple Choice
Solve the system of equation algebraically
y=5x+2y=5x−2
No solution
Infinite Solutions
(5,-2)
(5,2)
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Multiple Choice
Solve the systems of equations algebraically
y=−3x+2
y+3x=2
Infinite Solutions
No Solutions
(-3,2)
(3,2)
15
Types of solutions to a System of Equations
One solution: different slope
No solution: same slope, different y-intercept
Infinite Solutions: same slope, same y-intercept
Solving Systems of Equations Algebraically
Chapter 3 - Lesson 8
Page 244 to 249

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