Which statements are true about the ordered pair (−4, 0) and the system of equations? {2x+y=−8x−y=−4 select each correct answer.
(a) the ordered pair (−4, 0) is a solution to the first equation because it makes the first equation true.
(b) the ordered pair (−4, 0) is a solution to the second equation because it makes the second equation true.
(c) the ordered pair (−4, 0) is not a solution to the system because it makes at least one of the equations false.
(d) the ordered pair (−4, 0) is a solution to the system because it makes both equations true.

(D) The ordered pair (−4, 0) is a solution to the system because it makes both equations true.

Step-by-step explanation:

Given:

The system of equations are given as:

Let us solve this system using elimination method.

Addin the two equations, we get:

Now, plug in -4 for in second equation and solve for .

Therefore, the solution to the given system of equations is (-4,0).

This means that the point (-4, 0) satisfies both the equations.

This can be verified as shown below:

Plug in -4 for and 0 for and check whether the left side equals right side or not.

Therefore, the option (D) is correct.