Which statements are true about the ordered pair (5, −6) and the system of equations? {x+y=−1 3x−y=21 select each correct answer. the ordered pair (5, −6) 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 (5, −6) 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 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.

Step-by-step explanation:

The given system of equations are :

In ordered pair (5, −6) , x -coordinate =5 and y-coordinate = -6

Put x= 5 and y=-6 in (i) , we get

, which is true.

That means (5,-6) is a solution to the first equation because it makes the first equation true.

Put x= 5 and y=-6 in (ii) , we get

, which is true.

That means (5,-6) is a solution to the second equation because it makes the second equation true.

So , the correct statements are :