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11 February, 13:39

Substitute each equation by multiplication.

6x-2y=-6

-2x-3y=2

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Answers (1)
  1. 11 February, 14:53
    0
    x = - 1

    y = 0

    Step-by-step explanation:

    to solve the equation by substitution in order to evaluate for x and y

    let

    6x-2y=-6 ... equation 1

    -2x-3y=2 ... equation2

    from equation 2

    -2x-3y=2 ... equation2

    -2x - 2 = 3y

    divide both sides by 3

    (-2x - 2) / 3 = y

    y = (-2x - 2) / 3 ... equation3

    substitute y = (-2x - 2) / 3 into equation 1

    6x-2y=-6 ... equation 1

    6x - 2[ (-2x - 2) / 3] = - 6

    6x + (4x + 4) / 3 = - 6

    multiply through by 3

    18x + 4x + 4 = - 18

    22x = - 18-4

    22x = - 22

    divide both sides by the coefficient of x which is 22

    22x/22 = - 22/22

    x = - 1

    substitute for x in equation 3

    y = (-2x - 2) / 3 ... equation3

    y = - 2 (-1) - 2/3

    y = 2 - 2/3

    y = 0/3

    y = 0

    therefore the value of x and y is - 1 and 0 respectively
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