Which statements are true about the ordered pair (5, −6) and the system of equations?

{x+y=−13x−y=21

Select each correct answer.

Responses

The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.
The ordered pair , begin ordered pair 5 comma negative 6 end ordered pair, is a solution to the first equation because it makes the first equation true.

The ordered pair (5, −6) is a solution to the second equation because it makes the second equation true.
The ordered pair , begin ordered pair 5 comma negative 6 end ordered pair, is a solution to the second equation because it makes the second equation true.

The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.
The ordered pair , begin ordered pair 5 comma negative 6 end ordered pair, is not a solution to the system because it makes at least one of the equations false.

The ordered pair (5, −6) is a solution to the system because it makes both equations true.

The ordered pair (5, −6) is a solution to the second equation because it makes the second equation true.

The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.