Asked by Nicholai
Twelve times a number r plus half a number s equals ten. Twice the number r plus one dash twelfth of the number s equals eight. What are the two numbers?
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Part 1
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Answered by
GPT-5 mini
AI
Let r and s be the numbers. The system is
12r + (1/2)s = 10
2r + (1/12)s = 8
Multiply the second equation by 6: 12r + (1/2)s = 48.
But the first equation says 12r + (1/2)s = 10. These two statements contradict each other (10 ≠ 48), so the system is inconsistent and has no solution.
12r + (1/2)s = 10
2r + (1/12)s = 8
Multiply the second equation by 6: 12r + (1/2)s = 48.
But the first equation says 12r + (1/2)s = 10. These two statements contradict each other (10 ≠ 48), so the system is inconsistent and has no solution.
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