To determine which ordered pair is part of the solution set for the equation \( y = 2x + 5 \), we need to substitute the \( x \)-value from each pair into the equation and see if the resulting \( y \)-value matches the \( y \)-value in the ordered pair.
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For the pair \( (7, 1) \): \[ y = 2(7) + 5 = 14 + 5 = 19 \quad (\text{not } 1) \]
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For the pair \( (1, 2) \): \[ y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{not } 2) \]
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For the pair \( (3, -1) \): \[ y = 2(3) + 5 = 6 + 5 = 11 \quad (\text{not } -1) \]
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For the pair \( (1, 7) \): \[ y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{is } 7) \]
The pair \( (1, 7) \) satisfies the equation \( y = 2x + 5 \).
Thus, the correct answer is: (1, 7).