To determine which ordered pair is a solution to the system of inequalities \( y > 2x \) and \( y > 7 \), we can test each given ordered pair by plugging in the values into the inequalities.
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(3, 7):
- For \( y > 2x \): \( 7 > 2(3) \) → \( 7 > 6 \) (True)
- For \( y > 7 \): \( 7 > 7 \) (False)
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(0, 0):
- For \( y > 2x \): \( 0 > 2(0) \) → \( 0 > 0 \) (False)
- For \( y > 7 \): \( 0 > 7 \) (False)
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(1, 9):
- For \( y > 2x \): \( 9 > 2(1) \) → \( 9 > 2 \) (True)
- For \( y > 7 \): \( 9 > 7 \) (True)
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(4, 8):
- For \( y > 2x \): \( 8 > 2(4) \) → \( 8 > 8 \) (False)
- For \( y > 7 \): \( 8 > 7 \) (True)
Based on the above evaluations, the only ordered pair that satisfies both inequalities is (1, 9).
Thus, the answer is: (1, 9)