Question

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.

Answer 1

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

Further explanation:

Given equations are:

$2x+y=-8\\x-y=-4$

Given point is:

(-4,0)

In order to check whether the point makes equations true, we have to put the point in equations.

So, putting (-4,0) in first equation:

$2x+y=-8\\2(-4)+0 = -8\\-8+0=-8\\-8=-8$

Putting (-4,0) in second equation

$x-y=-4\\-4-0 = -4\\-4=-4$

We can see that the given point makes both the equations true.

Hence, the ordered pair (-4,0) is the solution to the system of equations because it makes both equations true.

Keywords: Linear Equations, Ordered pairs

Learn more about linear equations at:

• brainly.com/question/4703820
• brainly.com/question/4786449

#LearnwithBrainly