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 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