The algorithm of elimination for solving a system of simultaneous linear equations is not difficult and has been discovered more than once. The first time was by the ancient Chinese and appears in chapter 8 of the work Jiuzhang suanshu (Nine Chapters of the Mathematical Art, circa 100 B.C.E. –50 C.E.).
Who invented the system of equation?
Its use is illustrated in eighteen problems, with two to five equations. Systems of linear equations arose in Europe with the introduction in 1637 by René Descartes of coordinates in geometry.
How old is the history of simultaneous linear equation?
Around 4000 years ago, the people of Babylon knew how to solve a simple 2X2 system of linear equations with two unknowns.