Which ordered pair is the solution to the system of linear equations negative 5 x plus y is equal to 26 and 2 x minus 7 y is equal to 16 ?

From −5x + y = 26, solve for y to get y = 26 + 5x. Substitute this into the second equation: 2x − 7(26 + 5x) = 16, which simplifies to −33x = 198, so x = −6. Then y = 26 + 5(−6) = −4, giving the ordered pair (−6, −4), choice C.

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