Methods of Solving Linear Equations

Solving linear equations is a key skill in mathematics, as it involves finding the values of unknown quantities based on the given information. There are six main methods to solve linear equations, which include the graphical, Elimination, Substitution, Cross Multiplication, Matrix, and Determinants methods . In this article, we will focusing on the subtopics of solving linear equations.

Solving Linear Equations:

Graphical Method: The graphical methods involves graph both equations in the same coordinate system and check for the intersection point. This is a simple and easy to use for solving linear equations in one variable .
Elimination Method: The Elimination Method is used to solve linear equations in two variables. It involves the use of the same variable in both equations and the variable is substraction from both sides of the equation. This will results in the variable term on one side of the equal sign and the other side of the equation will be the same .
Substitution Method: The Substitution Method is used to solve linear equations in two variables. It involves solving one of the equations for one of the variables and using the value of that variable to solve the other equation. This will results in the variable term on one side of the equal sign and the other side of the equation will be the same .
Cross Multiplication Method: The Cross Multiplication Method is used to solve linear equations in two variables. It involves multiply the equation by the coefficient of the variable in the other equation and the variable term on one side of the equal sign and the other side of the equation will be the same .
Matrix Method: The Matrix Method is used to solve linear equations in two or three variables. It involves the use of a system of linear equations and the solution is found by using the Matrix Inve rt to solve the system of equations .
Determinants Method: The Determinants Method is used to solve linear equations in two or three variables. It involves the use of the Determinant of a Matrix to solve the system of equations .

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