Question

Which statements are true about the ordered pair

-1, 5) and the system of equations?
ſ+y=4
1
-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

-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 a solution to the system because it makes both equations true

Explanation:

The correct question is

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

x+y=4

x−y=−6

we know that

If a ordered pair is a solution of a equation, then the ordered pair, must satisfy the equation (makes the equation true)

If a ordered pair is a solution of the system of equations, then the ordered pair, must satisfy the equations of the system (makes both equations true)

we have

`x+y=4` ----> first equation

`x-y=-6` ----> second equation

step 1

Verify if the ordered pair satisfy the first equation

Substitute the values of x and y of the ordered pair in the first equation

For x=-1, y=5

`-1+5=4`

`4=4` ---> is true

The ordered pair satisfy the first equation

so

The ordered pair is a solution to the first equation because it makes the first equation true

step 2

Verify if the ordered pair satisfy the second equation

Substitute the values of x and y of the ordered pair in the second equation

For x=-1, y=5

`-1-5=-6`

`-6=-6` ---> is true

The ordered pair satisfy the second equation

so

The ordered pair is a solution to the second equation because it makes the second equation true

therefore

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