The solving systems of linear equations using elimination method is a powerful algebraic technique for solving systems of two linear equations. This method involves strategically eliminating one variable to simplify the problem-solving process. **Elimination method examples** demonstrate how to align equations, identify coefficients for elimination, and perform addition or subtraction to solve for variables. The process requires careful attention to equation alignment and coefficient manipulation to successfully eliminate variables and find solutions.

• The elimination method involves lining up equations precisely, with x's, y's, and equal signs aligned.

• Coefficients of one set of variables must be the same (positive or negative) for elimination.

• Variables are eliminated by adding or subtracting equations vertically.

• Solutions are found by solving for remaining variables and substituting values.

• **Elimination method steps** include aligning equations, identifying coefficients, eliminating variables, and solving for remaining unknowns.