(Solved): Show the steps in the Gauss-Jordan algorithm for the following system of linear equations: 4x1+2 ...

Show the steps in the Gauss-Jordan algorithm for the following system of linear equations: $\begin{array}{c}4x_1+2x_2+5x_3=8\\ ?5x_1+2x_2+x_3=?12\\ ?x_1+x_2+3x_3=?10\end{array}$ (Note: you can check your answer by plugging your solution into each matrix, starting from the last matrix. Also note that the solution to this system is integral.)