Question

HELP PLEASE I WILL GIVE BRAINLIEST AND 35 POINTS!!!!!!!!!!!!!!!!!!!!!!!Which statements are true about the ordered pair (−1, 5) and the system of equations?
{x+y=4x−y=−6

Select each correct answer.

The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true.

The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true.

The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (−1, 5) is a solution to the system because it makes both equations true.

Answer 1

The answer is "The ordered pair (-1,5) is a solution to the system because it makes both of the equations true."

to solve this, plug the values of the variables into each equation

(-1,5)    x = -1    y = 5

x + y = 4  

-1 + 5 = 4

4 = 4

the ordered pair is a solution to the first equation

x - y = -6

-1 - 5 = -6

-6 = -6

the ordered pair is a solution to the second equation

For an ordered pair to be a solution to a system, it must makes ALL the equations in the system true (which it did in this case); therefore, the ordered pair is a solution. Hope this helps!

Answer 2

The ordered pair (-1,5) is a solution to the system because it makes both equations true.

1) x+y=4
2) x-y=-6

1) -1 + 5 = 4
    5-1 = 4   you can switch the order to make it easier to understand
        so
        4 = 4

2) -1 - 5 = -6
     -1 + -5 = -6 you can change the sign in the middle and make y - 
          so
        -6 = -6