The Elimination Method: Simplifies solving systems of linear equations by removing one variable, making it easier to find the solution.

Elimination Techniques: Use addition or subtraction to eliminate a variable. For example, adding two equations to eliminate $y$ allows solving for $x$.

Transforming Equations: Sometimes, equations must be multiplied to align terms for elimination. This step is key for cases where direct addition or subtraction wonâ€™t eliminate a variable.

Substitute and Verify: After finding one variable, substitute it back into an original equation to find the other. Always verify solutions by substituting both values back into the original equations.

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