He what are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9 |a| = |ax| = |ay| =

For this case we have the following system of equations:
 5x + 3y = 17
 -8x - 3y = 9
 The solution to this system can be written in matrix form as:
 Ax = b
 Where, A is a matrix that is given by:
 A = [5 3; -8 -3]
 The determinant of this matrix 2 * 2 is given by:
 lAl = (5) * (- 3) - (3) * (- 8)
 lAl = -15 - (-24)
 lAl = -15 + 24
 lAl = 9
 
 The determinant for solving this linear system is:
 lAl = 9