To determine which statement is true regarding the ordered pairs (−9, 3) and (2, −4) for the equation \(6x - y^2 = 14\), we need to substitute each pair into the equation.
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For the ordered pair \((-9, 3)\):
Substitute \(x = -9\) and \(y = 3\) into the equation: \[ 6(-9) - (3)^2 = 14 \] \[ -54 - 9 = 14 \] \[ -63 \neq 14 \] Therefore, \((-9, 3)\) is not a solution.
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For the ordered pair \((2, -4)\):
Substitute \(x = 2\) and \(y = -4\) into the equation: \[ 6(2) - (-4)^2 = 14 \] \[ 12 - 16 = 14 \] \[ -4 \neq 14 \] Therefore, \((2, -4)\) is also not a solution.
Since both ordered pairs are not solutions to the equation, the correct response is:
Neither ordered pair is a solution.
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