SOLUTION: Find the solution set of 6x+3y≤12, if x and y are positive integers.

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Question 1104036: Find the solution set of 6x+3y≤12, if x and y are positive integers.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2By%3C=4
y%3C=-2x%2B4

Smallest x value will begin at 1.
corresponding y value is 2.
First point, (1,2).

{ (1,2), (2,0) } ------------No, not this set of points. As x increments upward by 1, y will soon become a negative integer.

An element in the solution set is the point (1,2).
Any smaller positive integer for y will also work. That only other point is (1,1).

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
The solution set consists of 2 points: (x,y) = (1,2) and (x,y) = (1,1).