Question

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)

Answer 1

Answer with Step-by-step explanation:

We find the value of y when x=0,1,2,5 and 9

Since, all the options have x values to be amongst these only

Now, when x=0, then 4y=9

i.e. y=9/4

so, (0,9/4) is a solution

So, option A and D are incorrect

when x = 1, then 1 + 4y = 9

4y = 9 - 1

4y = 8

y = 2

So, (1,2) is a solution

So, option B is incorrect

when x = 5, then 5 + 4y = 9

4y = 9 - 5

4y = 4

y = 1

So, (5,1) is the solution

Lastly, if x = 9, then 9 + 4y = 9

4y = 9 - 9

y = 0/4

y = 0

So, (9,0) is the solution

Hence, option C is correct

Answer 2

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).