Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.
Answer:
For the system of equations to be unique, s can take all values except 2 and -2
Step-by-step explanation:

![\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2s%264%5C%5C2%26s%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx_%7B1%7D%20%5C%5Cx_%7B2%7D%20%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%20%5C%5C6%20%5Cend%7Barray%7D%5Cright%5D)
For the system to have a unique solution, 

Answer:
A health club charges a $50 initial fee plus $2 for each visit. Moselle has spent a total of $144 at the health club this year . Use an equation to find how many visits she has made
Step-by-step explanation:10100101010010100101
The formula that describes this function is c = 50t
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let c represent the distance travelled at time t.
The cities are 200 miles apart and constant speed of 50mph, hence:
50 = c/t
c = 50t
The formula that describes this function is c = 50t
Find out more on equation at: brainly.com/question/2972832
Answer:
P(she selects the route of four specific capitals) = 1 in 2,686,320 or 3.72 x 10⁻⁷
Step-by-step explanation:
Assuming that the order at which she visits each of the four cities matters, the number of possible routes is the permutation of choosing 4 out of 42 capitals:

Therefore, the probability that she selects the route of four specific capitals is 1 in 2,686,320 or 3.72 x 10⁻⁷