Solving Systems by Elimination Method

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing the other variable to be solved easily.

To eliminate a variable, you can multiply one or both equations by a number so that when you add or subtract the equations, one variable cancels out.

(-1, -2)

(3, 5)

A system has no solution if the equations represent parallel lines that never intersect.

A system has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.

(2, 5)

(10, -1)

A system of equations is a set of two or more equations with the same variables.

The first step is to align the equations and decide which variable to eliminate.