Question

How many solutions are there for the equation 4x + 3y = 72 such that both x and y are non-negative integers?

Answer 1

@karatechopper @tcarroll010

Answer 2

actua;;y this represent a straight line

Answer 3

*Actually

Answer 4

I know that.

Answer 5

You can rewrite the equation into:

y = (-4/3)x + 24

Then, x can go from x > 0 to x < 18

Answer 6

I just don't know how to solve this problem.

Answer 7

So non-negative integers means part of the line in first quadrant

Answer 8

that will be the solution set

Answer 9

Ok. I guess I have to guess and check every number from 1 to 18...

Answer 10

for x

Answer 11

So, as 0 < x < 18, then 24 < y < 0 and there is your set of x, y where they are both positive.

Answer 12

So, (0, 24), (3, 20), (6, 16), (9, 12), (12, 8), (15, 4), (18, 0)

So, that's 7 sets of integers that are non-negative.

Answer 13

Good luck to you in all of your studies and so long for now.