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