ABSTRACT
Simultaneous equations arise great deal in engineering and science, some applications including theory of structures, data analysis, electrical circuit analysis and air traffic control. Systems of large numbers of equations require the use of numerical methods and computers. Matrices are generally used to solve simultaneous equations. Solving simultaneous equations is an important skill required in all aspects of engineering. Only one equation is necessary when finding the value of a single unknown quantity. However, when an equation contains two unknown quantities it has an infinite number of solutions. When two equations are available connecting the same two unknown values then a unique solution is possible. Equations which have to be solved together to find the unique values of the unknown quantities, which are true for each of the equations, are called simultaneous equations. The elimination method is the most common method of solving simultaneous equations. Whenever fractions are involved in simultaneous equations it is often easier to first remove them.
