<s>[INST] Solve for $X$ in a simple equation system. I cannot really understand how to read this question, so please help me out here.
$$\left[ \begin{array}{ccc} 0 & -6 & 4\\ 1 & 2 & 7\end{array} \right] = 4X + 5 \left[ \begin{array}{ccc} 3 & 4 & 3\\ 8 & -4 & 8\end{array} \right]$$
First, how should i read this? Secondly how do I procede and solve for $X$, a full development would be very much appreciated!
Thank you kindly for you help!
 [/INST] Two matrices are the same when all of their values are the same.
Lets call
$$X=\begin{pmatrix} x_{11} & x_{12} & x_{13} \\ x_{21} & x_{22} & x_{23} \end{pmatrix}$$
So your equations are 
\begin{align*}
0&= 4 x_{11} +5 \cdot 3\\
-6&= 4 x_{12} + 5 \cdot 4\\
4&=4 x_{13} + 5 \cdot 3\\
1&= 4 x_{21} + 5\cdot 8\\
2&= 4x_{22} + 5 \cdot (-4)\\
7&= 4x_{23} + 5 \cdot 8
\end{align*}
Just solve those and write what $X$ is.
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