System of Simultaneous Equations & its Methods of Solutions

A set of simultaneous equations, is a finite set of equations for which common solutions are sought. 

Also known as a system of equations or an equation system.

Points to note:

• Set of 2 or more equations.
• Each equation contains 2 or more variables.
• The number of variables may be equal to or less than the number of equations.
• The SOLUTION of the VARIABLES can simultaneously satisfy both the equations (in case of 2 equations) or all equations (in case of more than 3 equations)

Examples of Simultaneous Equations :

Simultaneous Equations of 2 Equations and 2 Variables:

Simultaneous Equations of 3 Equations and 3 Variables:

Simultaneous Equations of n Equations and n Variables:

• Simultaneous equations can be solve either by substitution method or elimination method.

• Matrix algebra can also be used to solve simultaneous equations . It is use when the number of variables and number of equations are very large.