To determine which of the given ordered pairs is part of the solution set for the equation \( y = 2x + 5 \), we can substitute the \( x \) values from each ordered pair into the equation and see if the resulting \( y \) value matches.
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For (1, 7): \[ y = 2(1) + 5 = 2 + 5 = 7 \] This matches, so (1, 7) is a solution.
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For (7, 1): \[ y = 2(7) + 5 = 14 + 5 = 19 \] This does not match, so (7, 1) is not a solution.
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For (1, 2): \[ y = 2(1) + 5 = 2 + 5 = 7 \] This does not match, so (1, 2) is not a solution.
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For (3, -1): \[ y = 2(3) + 5 = 6 + 5 = 11 \] This does not match, so (3, -1) is not a solution.
The only ordered pair that is part of the solution set for the equation \( y = 2x + 5 \) is (1, 7).
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