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.

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.

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.