To determine if the ordered pair (2, -3) is a solution to the equations \(X + y = 5\) and \(X - y = -1\), we need to substitute \(X = 2\) and \(y = -3\) into each equation and check if they hold true.
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For the first equation \(X + y = 5\): \[ 2 + (-3) = 2 - 3 = -1 \quad \text{(not equal to 5)} \]
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For the second equation \(X - y = -1\): \[ 2 - (-3) = 2 + 3 = 5 \quad \text{(not equal to -1)} \]
Since the ordered pair (2, -3) does not satisfy either equation, the answer is No, (2, -3) is not a solution to the system.
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