Solve the following system of linear equations in two variables, if possible:
2x+3y=5, 4x−y=11.
a. (i) Write the coefficient matrix A, the variable matrix X, and the constant matrix B so that the system is expressed as AX=B.
b. (ii) Calculate ∣A∣. Hence, state whether the system has a unique solution, no solution, or infinitely many solutions.
c. (iii) If a unique solution exists, find the values of x and y.