To determine which ordered pair makes the equation \( 5y - 3x = 5 \) a true statement, we need to substitute each pair into the equation and check for validity.
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For the pair \( (5, 4) \): \[ 5(4) - 3(5) = 20 - 15 = 5 \] This is true.
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For the pair \( (2, -2) \): \[ 5(-2) - 3(2) = -10 - 6 = -16 \] This is false.
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For the pair \( (-2, 0) \): \[ 5(0) - 3(-2) = 0 + 6 = 6 \] This is false.
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For the pair \( (0, 4) \): \[ 5(4) - 3(0) = 20 - 0 = 20 \] This is false.
The only ordered pair that satisfies the equation \( 5y - 3x = 5 \) is \( (5, 4) \).
Thus, the correct answer is \( (5, 4) \).