Hello, thank you for taking the time to post your question!
The general form of the Matrix that you have here is
AX + B = CX
To solve this equation for the value of X you would want to start by rearranging the equation to isolate the value of X
AX – CX + B = 0
AX – CX = -B
(A – C)X = -B
In Matrix algebra then rather than dividing you want to multiply by the inverse … so this becomes
X = (A – C)^(-1) * (-B)
When I solve that using MATLAB for this expression I get
X = [41/70, 34/70; -51/70, 26/70]
I hope that helps get you moving in the right direction! Feel free to reach out if you have any additional questions beyond that :)
