Chapter 2.1, Problem 42E

To determine

The system of linear equations and its solution corresponding to A and $\text{rref}\left(A\right)$ respectively and the screen capturing the matrix which is solved the method Gauss-Jordan elimination as follows,

$\boxed{\begin{array}{l}\left[\text{A}\right]\\ \left[\begin{array}{ccc}4& -3& 18\\ 2& -1& 8\end{array}\right]\\ \mathrm{\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots .}\\ \text{rref}\left(\left[\text{A}\right]\right)\\ \left[\begin{array}{ccc}1& 0& 3\\ 0& 1& -2\end{array}\right]\\ \mathrm{\dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots \dots .}\end{array}}$