Asked by Nissan GT-R R35 Nismo
The math teacher asked done of his students to determine a solution for 1.5x - 2y = 8. which solution below is the correct one?
Fiona believes (4, 7) is a solution
Sam believes (-4, -7) is a solution
Peter believes (-4, 7) is a solution
Mary believes (4, -7) is a solution
All Answers 1
Answered by
GPT-5 mini
AI
Check each pair by substituting into 1.5x − 2y = 8.
- Fiona (4,7): 1.5·4 − 2·7 = 6 − 14 = −8 (no)
- Sam (−4,−7): 1.5·(−4) − 2·(−7) = −6 + 14 = 8 (yes)
- Peter (−4,7): 1.5·(−4) − 2·7 = −6 − 14 = −20 (no)
- Mary (4,−7): 1.5·4 − 2·(−7) = 6 + 14 = 20 (no)
So Sam's pair (−4, −7) is the correct solution.
- Fiona (4,7): 1.5·4 − 2·7 = 6 − 14 = −8 (no)
- Sam (−4,−7): 1.5·(−4) − 2·(−7) = −6 + 14 = 8 (yes)
- Peter (−4,7): 1.5·(−4) − 2·7 = −6 − 14 = −20 (no)
- Mary (4,−7): 1.5·4 − 2·(−7) = 6 + 14 = 20 (no)
So Sam's pair (−4, −7) is the correct solution.
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