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25 April, 20:30

Which shows solutions to X+4y=9 if X and y must be whole numbers? A. { (0,9) (1,5) (2,1) } B.{ (2,1) (1,6) (0,9) } C.{ (1,2) (5,1) (9,0) D.{ (0,9) (1,4) (2,1)

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  1. 25 April, 20:49
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    The answer here is C. Let's proof.

    Since we are dealing with whole numbers, select a constant for x to satisfy that y will result a whole number.

    If x = 1, then the function would be 1 + 4y = 9. Solving for y,

    4y = 9 - 1

    4y = 8

    y = 2

    In ordered pair, that is (1,2)

    Next, if x = 5, then 5 + 4y = 9. Solving for y,

    4y = 9 - 5

    4y = 4

    y = 1

    In ordered pair, that is (5,1).

    Lastly, if x = 9, then 9 + 4y = 9. Solving for y,

    4y = 9 - 9

    y = 0/4

    y = 0

    In order pair, that is (9,0).
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