Question

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

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

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

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

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

Answer 1

Without the actual system of equations, it's impossible to determine if the ordered pair (5, -6) is a solution to the system; we need to substitute the pair into each equation to confirm.

Step-by-step explanation:

To determine whether the ordered pair (5, −6) is a solution to a given system of equations, we must test it in each equation of the system. A solution to the system must satisfy all the individual equations simultaneously. However, you haven't provided the actual equations, so without this critical information, it's impossible to determine which of the statements A, B, C, or D is true.

Generally, if substituting 'x' with 5 and 'y' with −6 in an equation yields a true statement, then (5, −6) is a solution to that equation. If it satisfies both equations in the system, then it is a solution to the system. If it does not satisfy at least one of them, then it is not a solution to the system.