Answer:
x = 1/7
Step-by-step explanation:
23x - 15x = x-1
8x = x - 1
8x - x = 1
7x = 1
x = 1/7
 
        
             
        
        
        
Answer:
Okay what do you want to talk about ?
Step-by-step explanation:
 
        
                    
             
        
        
        
Set up an equation:
3x - x = 28
Simplify:
2x = 28
Divide both sides by 2
X = 14
3(14) = 42
The numbers are 42 and 14
 
        
             
        
        
        
Answer:
![A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right]](https://tex.z-dn.net/?f=A%5E%7B-1%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-3%26-4%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D) message SHOW_ME_THE_MONEY_
 message SHOW_ME_THE_MONEY_  
Step-by-step explanation:
The matrix
 ![A=\left[\begin{array}{cc}1&4\\-1&-3\end{array}\right]\rightarrow |A|=(1 \times -3)-(-1\times 4)=1\\\rightarrow A^{-1}=\left[\begin{array}{cc}-3&-4\\1&1\end{array}\right] \\](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%264%5C%5C-1%26-3%5Cend%7Barray%7D%5Cright%5D%5Crightarrow%20%7CA%7C%3D%281%20%5Ctimes%20-3%29-%28-1%5Ctimes%204%29%3D1%5C%5C%5Crightarrow%20A%5E%7B-1%7D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-3%26-4%5C%5C1%261%5Cend%7Barray%7D%5Cright%5D%20%5C%5C)
We can check that in fact A*A^⁻1=I_2 the identity matrix of size 2 x 2.
Now the message was divided in 1 x 2 matrices, then we have that the sequence given is the result of multiplying m by A, so to get m again we multiply now by A^⁻1. and we get the next table
Encoded message    Decoded message    message in letters by association
11	52        19	8    S	H
-8	-9         15	23  O	W
-13	-39        0	13   _	M
5	20         5	0   E	_
12	56        20	8    T	H
5	20         5	0    E	_
-2	7           13	15  M	O
9	41         14	5   N	E
25	100       25	0    Y	_
Then the message decoded is SHOW_ME_THE_MONEY_