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30 August, 09:50

Is (7, 2) a solution to this system of equations?

16x + 8y = 11

x + y = 9

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Answers (1)
  1. 30 August, 11:24
    0
    Step-by-step explanation:

    16x+8y=11

    x+y=9

    Make x subject of formula, then x=9-y

    Substitute x into equation 1

    16 (9-y) + 8y=11

    144-16y+8y=11

    -8y=11-144

    -8y=-133

    Then, y=-133/-8

    y=16.625

    Also x=9-y

    Then, x=9-16.625

    y=-7.625

    Then, the solution (7,2) is not a solution to the simultaneous equation, it is only sufficient for equation 2, it doesn't satisfy equation 1

    Them the solution to the simultaneous equation is (x, y) = (16.625,-7.625)
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