Mastering Methods to Solve a System of Linear Equations: Graphing, Substitution, and Elimination

solution of a system of linear equations

has two variables which is an ordered pair that satisfies each equation in the system.

The solution of a system of linear equations refers to the set of values that makes all equations in the system simultaneously true.

To solve a system of linear equations, there are various methods, but some of the most common ones are:

1. Graphing Method:
This method involves graphing each equation on the same coordinate plane and finding the point(s) of intersection. The point(s) of intersection represent the solution(s) of the system of equations.

2. Substitution Method:
This method involves solving one equation for one variable, and then substituting that expression into the other equation(s) for that same variable. The resulting equation(s) will have one less variable, making it easier to solve.

3. Elimination Method:
This method involves adding or subtracting two equations to eliminate one variable, and then solving for the remaining variable. The process is repeated until all variables are determined.

It is important to note that a system of linear equations may have one unique solution, many solutions, or no solution at all, depending on the relationship between the equations.

More Answers: