Final answer:
To determine the correct ordered pair for a system of equations, substitute the x and y values from the pair into both equations. If the equations balance, the ordered pair is a solution. The actual method will depend on whether the system includes linear or quadratic equations, possibly using the quadratic formula for verification.
Step-by-step explanation:
The student is asking about determining which ordered pair satisfies a given system of equations. To find the ordered pair that satisfies the system, we need the actual equations, which are not provided in the question. However, typically, we would substitute the x- and y-values of each ordered pair into the equations of the system to check for satisfaction. If the values satisfy all equations, then that ordered pair is the solution to the system. If multiple ordered pairs are given, this process needs to be repeated for each pair.
If the provided pairs were (3, -2) and (-4, -1), we would check each by plugging their x and y values into the equations and seeing if the equations hold true. The exact method varies depending on whether it's a linear, quadratic, or any other form of equation system, but essentially, the correct ordered pair turns both equations of the system into true statements.
We would first substitute the x and y of each pair into both equations to see if the equations balance. If they do, that ordered pair satisfies the equations. This process involves algebraic manipulation and verification. In cases involving quadratic equations, we may also use the quadratic formula to find solutions and then check if our ordered pairs satisfy those solutions.