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9 August, 13:14

What is the solution of the system?

{-3x+9y=364x+12y=24

Enter your answer in the boxes.

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Answers (1)
  1. 9 August, 14:54
    0
    What you must do for this case is to solve the system of two equations with two unknowns.

    To find the values of x and y.

    We have then:

    -3x + 9y = 36

    4x + 12y = 24

    Resolving:

    Step 1:

    (1/3) * ( - 3x + 9y) = (36) * (1/3)

    (1/4) * (4x + 12y) = 24 * (1/4)

    -x + 3y = 12

    x + 3y = 6

    Step 2:

    6y = 18

    y = 18/6

    y = 3

    Step 3:

    -x + 3y = 12

    -12 + 3y = x

    -12 + 3 (3) = x

    x = - 3

    answer:

    x = - 3

    y = 3
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