Mastering the Methods of Solving Linear Equations: Your Guide to Graphical, Elimination, Substitution, and Matrix Methods

system of linear equation

is a set of two or more linear equations containing two or more variables.

A system of linear equations is a set of two or more linear equations that are to be solved simultaneously. These equations are written in the form of ax + by = c, where a, b, and c are constants and x and y are variables. The primary objective of solving a system of linear equations is to determine the values of x and y that satisfy all the equations in the system.

There are different methods of solving a system of linear equations, including graphical method, elimination method, substitution method, and matrix method. The choice of method depends on the nature and complexity of the equations involved.

It is important to note that a system of linear equations can have no solution, unique solution, or infinitely many solutions. This depends on the relationship between the equations. For example, two parallel lines will have no solution, while two identical lines will have infinitely many solutions.

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