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 it produces the corresponding \( y \)-value.
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For (7, 1):
- Substitute \( x = 7 \): \[ y = 2(7) + 5 = 14 + 5 = 19 \]
- This gives \( y = 19 \neq 1\).
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For (1, 7):
- Substitute \( x = 1 \): \[ y = 2(1) + 5 = 2 + 5 = 7 \]
- This gives \( y = 7\), which matches the pair.
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For (1, 2):
- Substitute \( x = 1 \): \[ y = 2(1) + 5 = 2 + 5 = 7 \]
- This gives \( y = 7 \neq 2\).
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For (3, -1):
- Substitute \( x = 3 \): \[ y = 2(3) + 5 = 6 + 5 = 11 \]
- This gives \( y = 11 \neq -1\).
The only pair that satisfies the equation \( y = 2x + 5 \) is \((1, 7)\).
Thus, the answer is \((1, 7)\).