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