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2 July, 09:29

Which ordered pair is the solution to the system of equations?

x + 2y = - 8

y = 1/2x-2

+1
Answers (2)
  1. 2 July, 10:11
    0
    (-2, - 3)

    Explanation:

    Step 1 - Multiply the second equation by two and add the two rows together

    x + 2y = - 8

    y = 1/2x - 2

    x + 2y = - 8

    2y - x = - 4

    4y = - 12

    Step 2 - Divide both sides of the equation by four

    4y = - 12

    4y / 4 = - 12 / 4

    y = - 3

    Step 3 - Substitute the negative three for y in the first equation and simplify

    x + 2y = - 8

    x + 2 (-3) = - 8

    x - 6 = - 8

    Step 4 - Add six to both sides of the equation

    x - 6 = - 8

    x - 6 + 6 = - 8 + 6

    x = - 2

    Therefore, the ordered pair should be (-2, - 3).
  2. 2 July, 11:51
    0
    Substitute the second equation to the first one

    x + 2 (1/2x - 2) = - 8

    x + x - 4 = - 8

    2x - 4 = - 8

    2x = - 8 + 4

    2x = - 4

    x = - 4/2

    x = - 2
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