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

You might be interested in

Solve 5n -14≤11 <br>*10 points*

Sedbober [7]

Answer:

n ≤ 5

Step-by-step explanation:

First, we add 14 to both sides. This gets us 5n ≤ 25. Next, we divide both sides by 5. This gets us n ≤ 5. I hope this helps!

4 0

2 years ago

Appreciate answers and any help!

Savatey [412]

To find the expected value of the distribution, we multiply each outcome by it's probability. Doing this, we get that the expected value of defects on a skateboard is of $\frac{4}{25}$ .

Outcomes and probabilities:

0 defects, 9/10 probability

1 defect, 1/20 probability

2 defects, 1/25 probability

3 defects, 1/100 probability.

Expected value:

$E(X) = 0\frac{9}{10} + \frac{1}{20} + 2\frac{1}{25} + 3\frac{1}{100} = \frac{1}{20} + \frac{2}{25} + \frac{3}{100} = \frac{5 + 8 + 3}{100} = \frac{16}{100}$