Background: Various methods can be used to solve dual fully fuzzy linear systems. The main choice involves identifying which method produces the most accurate and efficient solutions. Objective: This article describes a procedure to solve the dual fully fuzzy linear systems based on the Jacobi method, which is done using a computer program. Methods: The Jacobi method is an approximate method used to solve dual fully fuzzy linear systems involving the arithmetic concept of triangular fuzzy numbers. The process of the Jacobi method begins with inputting the initial value to obtain a solution with a relatively small error. This requires that the equations of the system be diagonally dominant. Results: The solution obtained from a dual fully fuzzy linear system using the Jacobi method is a single solution that has a minimal error. Conclusion: The solutions of the given examples can be obtained easily by applying the Jacobi method algorithm using MATLAB.