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8 August, 07:37

Find the missing coordinate to complete the ordered-pair solution to the given linear equation.

3x-2y=11

(a) (-1,)

(b) (,2)

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Answers (1)
  1. 8 August, 10:16
    0
    Hi there! The solutions are (-1, - 7) and (5, 2)

    a. The x-coordinate is given, x = - 1

    Filling in this value gives us the following:

    3 * - 1 - 2y = 11 - 3 - 2y = 11

    Now add 3 to both sides of the equation

    -2y = 14

    Finally divide by (both sides) - 2

    y = 14 / - 2 = - 7

    Hence, (-1, - 7)

    b. The y-coordinate is given, y = 2

    Filling in this value gives us the following:

    3x - 2 * 2 = 113x - 4 = 11

    Now add 4 to both sides of the equation

    3x = 15

    Finally divide by (both sides) 3

    x = 15 / 3 = 5

    Hence, (5, 2)
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