Lesson
Systems of Equations. Elimination
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tsalter_81507
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  • Slide 1
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    Systems of Equations Elimination

    Combining Linear Equations


    A.REI.5

    I CAN solve a system of equations by elimination.

  • Slide 2
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    ***VERY IMPORTANT SLIDE***

  • Question 3
    30 seconds
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    Q.

    I can combine 2 linear equations if the coefficients are not opposites.

    answer choices

    True

    False

  • Question 4
    120 seconds
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    Q.

    Solve by elimination:

    3x+7y=23

    -3x-7y=-17

    answer choices

    No solution

    ARN

    (-3,3)

    (3,3)

  • Question 5
    120 seconds
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    Q.

    Solve using elimination.

    4x + 8y = 20

    -4x + 2y = -30

    answer choices

    (-7,1)

    (2,-5)

    (-2,5)

    (7,-1)

  • Slide 6
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    Sometimes, the coefficients are NOT opposites, so we have to make them opposite...

    How? We choose any variable, and multiply either (or both) equations to create a common multiple.

  • Slide 7
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  • Question 8
    Ungraded
    30 seconds
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    Q.

    For the following equations, which coefficients would be easier to make opposites?


    2x + 3y = 12

    4x - 7y = - 54

    no correct answer

    2x and 4x

    3y and -7y

  • Question 9
    30 seconds
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    Q.

    Let's multiply the top equation by -2. What would be our new equation?


    2x + 3y = 12

    4x - 7y = - 54

    answer choices

    4x - 6y = -24

    -4x - 6y = 12

    -4x - 6y = 24

    -4x - 6y = -24

  • Question 10
    30 seconds
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    Q.

    Now, our equations will look like this

    -4x - 6y = -24

    4x - 7y = - 54


    Let's combine (add) these 2 equations to ELIMINATE the x variable. What would our combined equations be?

    answer choices

    -1y = 30

    13y = -30

    -1y = -78

    -13y = -78

  • Question 11
    30 seconds
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    Q.

    Let's solve for y.

    -13y = -78

    answer choices

    y = 6

    y = 1

    y = 8

    y = 30

  • Question 12
    30 seconds
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    Q.

    Now, let's find the solution to the system.


    2x + 3y = 12

    4x - 7y = - 54

    answer choices

    (-3, 2)

    (-3, -2)

    (6, -3)

    (-3, 6)

  • Question 13
    900 seconds
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    Q.

    Your Turn:


    Solve by elimination

    2x + 9y = -7

    6x - 3y = 9

    answer choices

    (-1, -1)

    (2,-1)

    (1,1)

    (1,-1)

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