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

{x+y=−13x−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.

Respuesta :

Answer:

Step-by-step explanation:

The system of equations is given as

x+y =-13 and

x-y =21

Adding we get

2x=8 or x=4

Substitute in I equation to get

4+y =13

y =9

Hence soluton is (4,9)

So (5,-6) cannot be the solution as there is only one unique solution to the system and that is (4,9)

When we substitute (5,-6) we hae

x+y=-1 and x-y = 11

Both equations are not satisfied.

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

Answer:

The answers are:

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

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

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

Explanation:

I took the K12 test and I got it right.