Which ordered pair open paren m comma n close paren is the solution to the given system of linear equations? 6 m minus 5 n is equal to 14 2 m plus 2 n is equal to negative 10

Divide the second equation, 2m + 2n = −10, by 2 to get m + n = −5, so n = −5 − m. Substitute this into the first equation: 6m − 5(−5 − m) = 14, which gives 11m + 25 = 14 and m = −1. Then n = −5 − (−1) = −4, so the solution is (−1, −4), choice D.

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