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