For this case we have the following system of equations: 5x + 3y = 17 -8x - 3y = 9 We can rewrite the system like: Ax = b Where, A = [5 3; -8 -3] b = [17; 9] x = [x; y] The determinant of matrix A is given by: lAl = ((5) * (- 3)) - ((3) * (- 8)) lAl = (-15) - (-24) lAl = -15 + 24 lAl = 9 Answer: The determinant for solving this linear system is: lAl = 9
