Final answer:
Without the specific system of equations, it's not possible to determine the best approximation of the solution to the system. The quadratic formula can be applied if the quadratic equation is ax^2 + bx + c = 0, with the constants given, but without additional information, further steps cannot be taken.
Step-by-step explanation:
To find the best approximation of the solution to the system to the nearest integer values, we first need the system of equations, which is not provided. However, if a quadratic equation is involved and we know the constants are a = 1.00, b = 10.0, and c = -200, then the quadratic equation we're dealing with is likely ax2 + bx + c = 0. To find the solutions, we can apply the quadratic formula, which is x = (-b ± √(b2 - 4ac)) / (2a). Substituting the values of a, b, and c into the formula gives us the potential solutions.
Without the specific system of equations, it is not possible to accurately determine which ordered pair would be correct. However, since the quadratic formula is mentioned, it is key in finding the x-values of the solutions, after which we could evaluate the original equations (had they been provided) to find the corresponding y-values. The closest integer solutions could then be approximated.