Answer:
x=3
Step-by-step explanation:
Answer:
Both 1/2 and 1/4 are proper fractions since numerator is smaller than the denominator
Step-by-step explanation:
Hello !
![\begin{cases} 5x+3y - 35&=0 \\ 3x - 4y &= - 8 \end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%205x%2B3y%20%20-%2035%26%3D0%20%5C%5C%203x%20-%204y%20%26%3D%20-%208%20%5Cend%7Bcases%7D)
![\Leftrightarrow\begin{cases} 5x+3y &=35 \\ 3x - 4y &= - 8 \end{cases}](https://tex.z-dn.net/?f=%5CLeftrightarrow%5Cbegin%7Bcases%7D%205x%2B3y%20%26%3D35%20%5C%5C%203x%20-%204y%20%26%3D%20-%208%20%5Cend%7Bcases%7D)
![\Leftrightarrow AX = B](https://tex.z-dn.net/?f=%5CLeftrightarrow%20AX%20%3D%20B%20)
With
![A=\left[\begin{array}{ccc}5&3\\3& - 4\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C3%26%20-%204%5Cend%7Barray%7D%5Cright%5D%20)
![X=\left[\begin{array}{ccc}x\\y\\\end{array}\right]](https://tex.z-dn.net/?f=X%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D%20)
![B=\left[\begin{array}{ccc}35\\ - 8\\\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D35%5C%5C%20-%208%5C%5C%5Cend%7Barray%7D%5Cright%5D%20)
The solution is given by
.
![X= {\left[\begin{array}{ccc}5&3\\3& - 4\end{array}\right] }^{ - 1} \left[\begin{array}{ccc}35\\ - 8\\\end{array}\right]](https://tex.z-dn.net/?f=X%3D%20%7B%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%263%5C%5C3%26%20-%204%5Cend%7Barray%7D%5Cright%5D%20%7D%5E%7B%20-%201%7D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D35%5C%5C%20-%208%5C%5C%5Cend%7Barray%7D%5Cright%5D%20)
![X=\left[\begin{array}{ccc}4\\ 5\\\end{array}\right]](https://tex.z-dn.net/?f=X%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%5C%5C%205%5C%5C%5Cend%7Barray%7D%5Cright%5D%20)
The point of intersection between the lines is (4;5).
Have a nice day
6x-8=8x-10 then 2=2x which means x=1
Your answer is A its the only one where it subtracts the original price with the discount