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 a solution to the system because it makes both equations true
Step-by-step 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
[tex]x+y=4[/tex] ----> first equation
[tex]x-y=-6[/tex] ----> 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
[tex]-1+5=4[/tex]
[tex]4=4[/tex] ---> 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
[tex]-1-5=-6[/tex]
[tex]-6=-6[/tex] ---> 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
