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6 April, 14:52

Which of the following ordered pairs represents the solution to the system given below?

x - 4y = 7

5x + 9y = 6

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Answers (1)
  1. 6 April, 16:50
    0
    X - 4y = 7

    5x + 9y = 6

    5x - 20y = 35 / / 1st * 5

    5x + 9y = 6

    5x + 9y - 5x + 20y = 6 - 35 / / 2nd - 1st

    5x + 9y = 6

    29y=-29

    5x=6-9y

    y=-1 / / 1st : 29

    5x=6-9 * (-1)

    y=-1

    x=15:5 / / 2nd : 5

    y=-1

    x=3

    check:

    for x=3 and y=-1 there is:

    x - 4y = 7 is 3 - 4 * (-1) = 7 is 7=7 ok

    5x + 9y = 6 is 15-9=6 is 6=6 ok

    answer: (3; -1) represents the solution.
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