Question

Which statements are true about the ordered pair (5, −6) and the system of equations?

{x+y=−1
3x−y=21

Select each correct answer.

The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.

The ordered pair (5, −6) is a solution to the second equation because it makes the second equation true.

The ordered pair (5, −6) is not a solution to the system because it makes at least one of the equations false.

The ordered pair (5, −6) is a solution to the system because it makes both equations true.

Answer 1

The first, second, and last answer is true. The pair is a solution to the whole system, and is also the solution to each the first and second equation. 

Hope this helps! =)

May

Answer 2

The ordered pair (5, −6) is a solution to the system because it makes both equations true.

The ordered pair (5, −6) is a solution to the first equation because it makes the first equation true.

The ordered pair (5, −6) is a solution to the second equation because it makes the second equation true.