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=−6Select 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.
Accepted Solution
A:
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!