
Solving Systems by Elimination
Presentation
•
Mathematics
•
8th - 10th Grade
•
Medium
Standards-aligned
Zanier Fuller
Used 41+ times
FREE Resource
9 Slides • 20 Questions
1
Solving Systems by Elimination
By Zanier Fuller
2
Linear Combination
Graphing
Methods to Explore
Using Tables
Using Substitution
Methods We've Done
Solving Systems
Quiz will be Friday, Feb 18th. Tomorrow we have stations to practice each skill.
3
line up the x & y & the equal sign.
look to see if the variables are the same/opposite.
if YES - Move to Step 3
If NO. - multiply one or both equation by a constant (LCM) to make the coefficients the same or opposite.
Add or Subtract the TWO equations to eliminate one of the variables.
Solve for the remaining variable
Sybstitute your answer in one of the original equations
Check your answer.
Write final answer as an ordered pair.
STEPS TO SOLVE
4
Let's Explore Each Step
line up the x & y & the equal sign.
5
Multiple Choice
Look at the system below. Is the x & y lined up?
3x=4y−7
3x+7y=11
YES
NO
6
Multiple Choice
Is the System Lined up?
4y − 3x=12
y+3x=0
No
YES
7
Let's Explore Each Step
look to see if any of the coefficients are the same/opposite.
8
Multiple Choice
Are any of the coefficients same or opposite?
2x - 6y = 20
2x + 5y = -11
Same
Opposite
Neither
9
Multiple Choice
Are any of the coefficients same or opposite?
5x - 2y = 11
-10x + 3y = -4
Same
Opposte
Neither
10
Multiple Choice
Are any of the coefficients same or opposite?
x - y = 11
2x + y = 19
Same
Opposite
Neither
11
Multiple Choice
Are any of the coefficients same or opposite?
4x+ 9y = 28
-4x -y = -28
Same
Opposite
Neither
12
Multiple Choice
Solve the system:
x + 6y = 17
x + 3y = -8
Same
Opposite
Neither
13
Let's Explore Each Step
If NO. - multiply one or both equation by a constant (LCM) to make the coefficients the same or opposite.
14
Let's Explore Each Step
Add or Subtract the TWO equations to eliminate one of the variables.
15
Multiple Choice
9x-3y=-3
-5x+3y=-1
Would you add or subtract to eliminate the variable (Get ZERO)
ADD
SUBTRACT
16
Multiple Choice
10x-8y=-30
-10x+9y=25
Would you add or subtract to eliminate the variable (Get ZERO)
ADD
SUBTRACT
17
Multiple Choice
Would you add or subtract to eliminate the variable (Get ZERO)
x + y = 3
x - 10y = -30
ADD
SUBTRACT
18
Multiple Choice
Would you add or subtract to eliminate the variable (Get ZERO)
-10x-9y=9
10x+7y=-7
ADD
SUBTRACT
19
Multiple Choice
Would you add or subtract to eliminate the variable (Get ZERO)
-2x+7y=0
2x+7y=-16
ADD
SUBTRACT
EITHER
20
Let's Explore Each Step
ONE VARIABLE MUST BE ELIMINATED!!!!!!!!!
21
Multiple Choice
-4x + 2y = -30
Which variable will be eliminated?
22
Multiple Choice
line up the like terms.
23
Multiple Choice
Which variable will be eliminated?
4x+9y=28
4x-y=-28
all of the variables
none of the variables
y
x
24
Multiple Choice
Which variable will be eliminated
3x+7y=23
-3x-7y=-17
all of them
none of them
x
y
25
Multiple Choice
Which variable will be eliminated?
-9x+4y=-20
5x+4y=4
all of the variables
none of the variables
y
x
26
Multiple Choice
Which variable will be eliminated
7x+y=-9
-3x-y=5
all of the variables
none of the variables
x
y
27
Multiple Choice
Which variable will be eliminated?
4x+4y=4
3x+4y=10
x
y
both
im lost
28
Multiple Choice
Which will be eliminated?
-x+2y=17
2x+2y=-10
y
x
both
still lost
29
Let's Get Ready to Try on Paper
Solving Systems by Elimination
By Zanier Fuller
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