What are the determinants for solving this linear system?

5x + 3y = 17

-8x - 3y = 9

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