14.5.1 Simple-Iteration method

Problem: Solve the system of equations by the simpleiteration method in 3 steps: \[ \left\{\begin{array}{l} 4 x_{1}-3 x_{2}+x_{3}=7 \\ 2 x_{1}-5 x_{2}-x_{3}=3 \\ -x_{1}+x_{2}-6 x_{3}=5 \end{array}\right. \]