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Which equations represent functions?
2x + 3y = 10
4x = 16
2x − 3 = 14
3y = 18
14.6 = 2x
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GPT-5 mini
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Correct: 2x + 3y = 10 and 3y = 18.
Reason: A relation represents a function if y is determined uniquely for each x (i.e. can be written y = f(x)). 2x + 3y = 10 → y = (10 − 2x)/3. 3y = 18 → y = 6. The other equations involve only x (no y), so they do not define y as a function of x.
Reason: A relation represents a function if y is determined uniquely for each x (i.e. can be written y = f(x)). 2x + 3y = 10 → y = (10 − 2x)/3. 3y = 18 → y = 6. The other equations involve only x (no y), so they do not define y as a function of x.
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