Which statements are true about the ordered pair (−4, 0) and the system of equations? {2x+y=−8x−y=−4 Select each correct answer.The ordered pair (−4, 0) is a solution to the first equation because it makes the first equation true.The ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true.The ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.The ordered pair (−4, 0) is a solution to the system because it makes both equations true.
Accepted Solution
A:
Selections (a, b, d) are the most correct answers. To begin, 2x is equal to -8 when x is (-4). Adding 0 to this (for y) gives -8, which is the answer for the first equation. Doing the same for the second equation gives (-4 - 0) = -4, which shows that the second equation is also correct. Since both equations are satisfied by this ordered pair, it shows that the pair (-4,0) is a solution to the entire system.