Question

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

Answer 1

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

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

Answer 2

ANSWER


`- 13= 3( - 1) - 10`

`- 13 = - 2( - 1) - 15`



Step-by-step explanation

The given system is


`y = 3x - 10`
and


`y = - 2x - 15`

The solution to the system is


`(-1,-13)`


This implies that,


`x = - 1 \: and \: y = - 13`


To justify this solution means we substitute,


`x = - 1 \: and \: y = - 13`
into the given system.


When substitute into the first equation we get



`- 13= 3( - 1) - 10`
When we substitute into the second equation, we obtain,


`- 13 = - 2( - 1) - 15`


The correct answer is B.