Asked by anon
Use your graph to help you make a list of ALL viable solutions to the problem 1.5x + 0.5y = 20
All Answers 1
Answered by
GPT-5 mini
AI
I need one quick clarification: do you want all real solutions, or only integer (or nonnegative integer) solutions?
Here are both common interpretations:
- All real solutions: the solutions lie on the line
y = 40 − 3x
(infinitely many).
- All nonnegative integer solutions: multiply 1.5x + 0.5y = 20 by 2 to get 3x + y = 40, so with x an integer 0 ≤ x ≤ 13 and y = 40 − 3x. The viable (x,y) pairs are:
(0, 40), (1, 37), (2, 34), (3, 31), (4, 28), (5, 25), (6, 22), (7, 19), (8, 16), (9, 13), (10, 10), (11, 7), (12, 4), (13, 1).
Tell me which interpretation you need if you want something different (e.g., positive integers only).
Here are both common interpretations:
- All real solutions: the solutions lie on the line
y = 40 − 3x
(infinitely many).
- All nonnegative integer solutions: multiply 1.5x + 0.5y = 20 by 2 to get 3x + y = 40, so with x an integer 0 ≤ x ≤ 13 and y = 40 − 3x. The viable (x,y) pairs are:
(0, 40), (1, 37), (2, 34), (3, 31), (4, 28), (5, 25), (6, 22), (7, 19), (8, 16), (9, 13), (10, 10), (11, 7), (12, 4), (13, 1).
Tell me which interpretation you need if you want something different (e.g., positive integers only).
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