I am coming across questions like these:
Find $A$ and $B$ if
$$2A+3B=I_2$$ $$ A+B=2A^t$$
$$2A+3B= \left( \begin{array}{cc} 8 & 3 \\ 7 & 6 \end{array} \right)$$
$$A+B^t= \left( \begin{array}{cc} 3 & 1 \\ 3 & 3 \end{array} \right)$$
- $$2A+B^t= \left( \begin{array}{cc} 2 & 5 \\ 10 & 2 \end{array} \right)$$ $$2B+A^t= \left( \begin{array}{cc} 1 & 8 \\ 4 & 1 \end{array} \right)$$
Problems like these haven't been done in my books and I couldn't find anything online either. Can someone please give me some hints or any links about how to do these types of problems?