Which statement justifies the given ordered pair as a solution to the system of equations? (−1, −13) {y=3x−10y=−2x−15 {−1=3(−13)−10−1=−2(−13)−15 {−13=3(−1)−10−13=−2(−1)−15 {1=3(13)−101=−2(13)−15 {13=3(1)−1013=−2(1)−15

(-1,-13)x = -1 and y = -13

y = 3x - 10y = -2x - 15
-13 = 3(-1) - 10(-13) = -2(-1) - 15...answer is B.

ANSWER




EXPLANATION

The given system is


and



The solution to the system is



This implies that,



To justify this solution means we substitute,


into the given system.

When substitute into the first equation we get


When we substitute into the second equation, we obtain,



The correct answer is B.