Question

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

Answer 1

Answer:

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.

Step-by-step explanation:

System of equations:

$x+y= 4$

$x-y=-6$

Ordered pair (-1,5)

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

$x+y= 4$

$-1+5= 4$

$-4 \neq 4$

$x-y=-6$

$-1-5=-6$

$-6=-6$

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.

Answer 2

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