This document discusses iterative methods for solving systems of equations, including the Jacobi and Gauss-Seidel methods. The Jacobi method solves systems of equations by iteratively updating the solution variables. The Gauss-Seidel method similarly iteratively solves systems but updates the variables in a specific sequential order for increased convergence. Examples are provided of applying both methods through multiple iterations to arrive at solutions. Relaxation is also introduced as a variation of Gauss-Seidel.