Precalculus (6th Edition) Blitzer

The system of linear equation is, \begin{align} & 5x+3z=-11 \\ & y-4z=12 \\ & 7x+2y=3 \end{align}
A system of linear equations can be solved with the help of matrices. One of the methods (Gaussian elimination) to solve the system of the linear equations involves the augmented matrix. When a matrix is separated into two groups by a vertical line, with the coefficients of the variable on one side and constants on the other side, it is called an augmented matrix. The row indicates the coefficient and the constant from an equation whereas the column indicates all the coefficients of a variable. The system of equations is written as follows, \begin{align} & 5x+3z=-11 \\ & y-4z=12 \\ & 7x+2y=3 \end{align}