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19 May, 19:48

3m - 9n = 24; n = - 1,1,3

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  1. 19 May, 20:32
    0
    given that

    3m - 9n = 24

    when n = - 1

    substitute it in the equation

    thus

    3m - 9 (-1) = 24

    solving for m

    3m + 9 = 24

    3m = 24-9

    3m=15

    dividing through by 3

    3m/3 = 15/3

    m = 5. thus when n = - 1, m=5

    also put n=1 into the equation

    3m - 9 (1) = 24

    3m - 9 = 24

    3m = 24+9

    3m = 33

    dividing through by 3

    3m/3 = 33/3

    m=11

    thus when n = 1, m=11

    lastly, put n = 3 into the equation

    3m - 9 (3) = 24

    3m - 27 = 24

    3m = 24+27

    3m = 51

    dividing through by 3

    3m/3 = 51/3

    m = 17. Thus when n = 3, m = 17.
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