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)

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).