Question

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What are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9 |A| = |Ax| = |Ay| =

Answer 1

|A| =

⇒ 5

⇒ 3

⇒ -8

⇒ -3

|Ax| =

⇒ 17

⇒ 3

⇒ 9

⇒ -3

|Ay| =

⇒ 5

⇒ 17

⇒ -8

⇒ 9

Explanation:

Answer 2

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