This document discusses iterative methods for solving systems of equations, including Jacobi, Gauss-Seidel, and Gauss-Seidel relaxation methods. Iterative methods progressively calculate approximations to the solution, unlike direct methods which require completing the full process to obtain the answer. The Jacobi method is used to solve simple square systems of equations. Gauss-Seidel is an iterative technique that solves systems of linear equations by computing updated solutions sequentially using forward substitution. Gauss-Seidel relaxation is similar but incorporates a relaxation parameter. Examples demonstrate applying these methods over multiple iterations to solve systems.