Answer:
r=32/7
Step-by-step explanation:
First, you should equalize the denominator of first and second fraction. If the denominator multiplies by (x-5), so does the numerator. If the denominator multiplies by (x+3), so does the numerator.
(Look into my attachment at the second row)
Second, simplify the algebraic form for the numerator.
(Look into my attachment at the fourth row)
Third, simplify the denominator
(Look into my attachment at the last row)
For this case we have the following system of equations:

We can Rewrite the system of equations of the form:

Where,
A: coefficient matrix
x: incognita vector
b: vector solution
We have then:
![A=\left[\begin{array}{ccc}5&3\\-8&-3\end{array}\right]](https://tex.z-dn.net/?f=%20A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C-8%26-3%5Cend%7Barray%7D%5Cright%5D%20%20)
![x=\left[\begin{array}{ccc}x\\y\end{array}\right]](https://tex.z-dn.net/?f=%20x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%20)
![b=\left[\begin{array}{ccc}17\\9\end{array}\right]](https://tex.z-dn.net/?f=%20b%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D17%5C%5C9%5Cend%7Barray%7D%5Cright%5D%20%20)
Then, the determinant of matrix A is given by:



Answer:
The determinants for solving this linear system are:

Answer:
3n + 3
Step-by-step explanation:
Mia is correct
When n= 1 , 3n + 3 = 3*1 + 3 = 3 + 3 = 6
When n =2, 3n + 3 = 3*2 + 3 = 6 + 3 = 9
When n = 3 , 3n +3 = 3*3 + 3 = 9 + 3 = 12
When n = 4, 3n + 3 = 3*4 + 3 = 12 +3 = 15