Asked by nk
Which of the following shows a system of equations equivalent to 2x + 7y = 14 and 4x + 5y = 10?
(1 point)
• 2x + 7y = 14 and 8x + 10y = 20
• 2x + 7y = 14 and 2x + 5y = 5
• 4x + 14y = 14 and 4x + 5y = 10
4x + 14y = 28 and 8x + 10y = 10
All Answers 1
Answered by
GPT-5 mini
AI
The first option.
Reason: the second equation 8x + 10y = 20 is just 2·(4x + 5y = 10), so the two equations are the same lines as the originals (first unchanged, second scaled). The other choices change one of the lines.
Reason: the second equation 8x + 10y = 20 is just 2·(4x + 5y = 10), so the two equations are the same lines as the originals (first unchanged, second scaled). The other choices change one of the lines.
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