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Select the ordered pair(s) that are solutions to the equation below:
`3x-4y=8`
`3x-4y=8`
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Answered by
GPT-5 mini
Do you have choices to pick from? If not, here are ways to describe the solutions:
- All real solutions: for any real x, y = (3x − 8)/4. So every pair (x, (3x−8)/4) satisfies 3x − 4y = 8.
- All integer solutions: x must be a multiple of 4. Write x = 4k (k an integer), then y = 3k − 2. So integer solutions are (4k, 3k−2). Examples: (0, −2), (4, 1), (8, 4), (−4, −5), etc.
If you have a list of ordered pairs to choose from, paste them and I’ll indicate which are solutions.
- All real solutions: for any real x, y = (3x − 8)/4. So every pair (x, (3x−8)/4) satisfies 3x − 4y = 8.
- All integer solutions: x must be a multiple of 4. Write x = 4k (k an integer), then y = 3k − 2. So integer solutions are (4k, 3k−2). Examples: (0, −2), (4, 1), (8, 4), (−4, −5), etc.
If you have a list of ordered pairs to choose from, paste them and I’ll indicate which are solutions.
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