ABSTRACT

Systems that consist of a small number of equations can be solved analytically using standard methods from algebra. Systems of large numbers of equations require the use of numerical methods and computers. Matrices are generally used to solve simultaneous equations. The chapter discusses solve simultaneous equations in two unknowns by substitution and explores solve simultaneous equations in two unknowns by elimination. It examines solve simultaneous equations involving practical situations. There are a number of situations in engineering and science where the solution of simultaneous equations is required. 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. 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.