Final answer:
Option A. The question does not provide enough context or information to apply the inverse of the coefficient matrix method. Typically, solving a system using the matrix inverse involves identifying the system's equations and matrices, then calculating the solution using the inverse of the coefficient matrix.
Step-by-step explanation:
To solve the system by using the inverse of the coefficient matrix, you typically are given a system of linear equations that can be written in matrix form as AX = B, where A is the coefficient matrix, X is the column matrix of variables, and B is the column matrix of constants. However, the question as presented does not specify a system of equations or provide a matrix, but rather gives different pairs of solutions for variables x and y.
Without the context of the actual system of equations or the coefficient matrix, we cannot verify which, if any, of these pairs of solutions are correct by the method of matrix inversion. If we had the system of equations in the proper form, we would identify the knowns (the matrix A and B), and then use a calculator or algebraic methods to find the inverse of matrix A (if it exists). Once we have the inverse, we multiply it by matrix B to solve for matrix X, which contains the values of x and y.