Which statement justifies the given ordered pair as a solution to the system of equations? ​ (−1, −13) ​ {y=3x−10y=−2x−15

These are the four statements that come with the question and from which you have to select the right one.

A) −1=3(−13)−10
     −1=−2(−13)−15

B) 13=3(1)−10
     13=−2(1)−15

C) 1=3(13)−10
     1=−2(13)−15

D)  −13=3(−1)−10
     −13=−2(−1)−15

The answer is the option D.

Just replace the values x = -1 and y = - 13 in the two equations and you obtain the answer:

1) y = 3x - 10 => - 13 = 3(-1) - 10
2) y = -2x - 15 => -13 = -2(-1) - 15