Question

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Answer 1

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
 Answer:
 The determinant for solving this linear system is:
 lAl = 9

Answer 2

|A| =  

 

⇒ 5

⇒ 3  

⇒ -8

⇒ -3

|Ax| =  

 

⇒ 17

⇒ 3  

⇒ 9

⇒ -3

|Ay| =  

 

⇒ 5

⇒ 17  

⇒ -8

⇒ 9

Step-by-step explanation: