Question

Which statements are true about the ordered pair (−1, 5) and the system of equations?

x+y= 4
x-y=-6
Select 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.

Answer 1

all except letter C.

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.

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

Explanation:

Answer 2

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.

Explanation:

System of equations:

`x+y= 4`

`x-y=-6`

Ordered pair (-1,5)

Substitute x = -1 and y = 5 in both equations

`x+y= 4`

`-1+5= 4`

`-4 \\eq 4`

`x-y=-6`

`-1-5=-6`

`-6=-6`

So, Ordered pair (-1,5) satisfy the equation second but not first

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.