Question

~(25 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.(select all that are right)

A.)_ The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true.
B.)_The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true.
C.)_ The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false.
D.)_ The ordered pair (−1, 5) is a solution to the system because it makes both equations true.

Answer 1

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

Explanation:

Answer 2

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!

Explanation: