RESUMO
This Paper is the study of a system of linear equations in n unknowns and finding solution by various methods, Gauss elimination method, Gauss Jordan method, Gauss Seidel method. A System of Linear Equations is two or more linear equations together. The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. When there is no solution then the system of linear equations is referred as "inconsistent”. If there is one or infinitely many solutions then the system of linear equations is referred as “consistent". Many problems in Engineering and applied sciences require the solution of System of equations. The system of linear equations used to solve age problems, to calculate speed, distance and time of a moving object. It is also used to calculate money and percentage problems,Work, time and wages problems. Problems on force and pressure can also be solved.