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2 years ago

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

Mathematics

2 answers:

professor190 [17]2 years ago

6 0

On Edg it's

A= 5 3

-8 -3

Ay= 5 17

-8 9

Ax= 17 3

9 -3

Ksivusya [100]2 years ago

3 0

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

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