Forward elimination and back substitution are understood to be the solution of the triangular systems $ L y = a $ and $ U x = y $, respectively. To solve a system of equations by elimination we transform the system such that one variable "cancels out".

Example 1: Solve the system of equations by elimination $$ \begin{aligned} 3x - … Math definition of Elimination: Elimination - A strategy for solving systems of equations that includes elimination of one variable. The elimination method is where you actually eliminate one of the variables by adding the two equations. In this way, you eliminate one variable so you can solve for the other variable. Illustrated definition of Substitution: Putting values where the letters are. See also Gaussian Elimination. By using the concept of a flop (as introduced by C.B. The steps to solve the equations by using elimination method are as follows: Step 1: Rewrite and line up the system of equations with the unknowns. Elimination definition is - the act, process, or an instance of eliminating or discharging: such as. This is done by transforming the system's augmented matrix into row-echelon form by means of row operations. The elimination method of solving systems of equations is also called the addition method. The elimination method is the process of solving the system of equations, by cancelling unknowns in the system. How to use elimination in a sentence.
A method of solving a linear system of equations.

This makes more simple to solve and easy to solve for the resting unknowns. Then the system is solved by back-substitution.