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11 August, 16:49

Solve the following system by the comparison method.

2p + q = 1

9p + 3q + 3 = 0

What is the solution set?

{ (-2, 5) }

{ (2, - 5) }

{ (-2, - 5) }

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Answers (1)
  1. 11 August, 18:57
    0
    2p + q = 1

    9p + 3q + 3 = 0

    q = 1 - 2p

    replace q = 1 - 2p into 9p + 3q + 3 = 0

    9p + 3 (1 - 2p) + 3 = 0

    9p + 3 - 6p + 3 = 0

    3p + 6 = 0

    3p = - 6

    p = - 2

    q = 1 - 2p

    q = 1 - 2 (-2)

    q = 1 + 4

    q = 5

    (-2, 5)

    answer

    { (-2, 5) } first one
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