

Solving Systems of Equations Using Elimination
Presentation
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Easy
+5
Standards-aligned
Amanda Costello
Used 330+ times
FREE Resource
3 Slides • 10 Questions
1
Solving Systems of Equations Using Elimination

2
Multiple Select
What are the two methods to solve a system of equations we learned before break ?
Substitution and Guess and Check
Substitution and Elimination
Substitution and Graphing
3
The Elimination Method
Best when equations are "stacked" in standard form (Ax+By=C)
Add or Subtract the equations to eliminate the variables (sometimes a littl magic multipliction is used too)
4
Multiple Choice
Which system of equations do you think is "stacked" ?
2x+3y=6
−2x+4y=20
5x+2=6y
y−1 =4x
5
Multiple Choice
What operation do you think would eliminate the "x" variables in the system:
2x+3y=6
−2x+8y=16
Addition
Subtraction
Multiplication
Division
6
3x+2y=7
−3x+4y=5If a variable has opposite coefficients:
Add the equations
The chosen variable will eliminate (disappear, cancel)
Solve the new equation for the opposite variable
7
Multiple Choice
When we add the two equations, what is the new equation we've created ?
3x+2y=7
−3x+4y=5
6x+6y=12
6y=75
6y=12
8
Multiple Choice
Now that we have 6y=12, what do you think we do ?
3x+2y=7
−3x+4y=5
That's it - that's the answer - piece of cake!
Solve the equation 6y=12 and get y = 2, then substitute back into either equation to find "x"
9
Open Ended
3x+2y=7
−3x+4y=5
Go ahead and find x. Type your answer here as an ordered pair!
10
Open Ended
Solve the system of equations by adding them together to eliminate a variable. Be sure to write this in your notes. Input your answer as an ordered pair.
3x−y = 12
2x+y = 13
11
Poll
Look at the system of equations. How do you think you could start solving it.
5x−3y = 16
x−3y=8
Add em up!
Subtract them!
Multiply the bottom by -1 and then add em up!
12
Multiple Choice
If we multiply the bottom equation by negative one, what would that new equivalent equation be ?
5x−3y = 16
x−3y=8
−x − 3y = 8
−x+3y = −8
−x +3y = 8
13
Open Ended
What are two things you learned today? What questions do you still have??
Solving Systems of Equations Using Elimination

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