The elimination method is a systematic algebraic approach to solving systems of equations by adding or subtracting equations to eliminate one variable. This method is particularly effective when variables have convenient coefficients that are equal or opposite, making it often faster than substitution for many systems.

When to Use Elimination Method

The elimination method is most efficient when variables have coefficients that are equal, opposite, or easily made to match through multiplication. It's particularly useful when you want to avoid fractions during the solving process, as it often keeps calculations cleaner than the substitution method.

• Variables have the same coefficient (subtract equations)
• Variables have opposite coefficients (add equations)
• Coefficients are easily matched by simple multiplication
• System has integer coefficients that work well together
• You want to avoid the fractions common in substitution

Sources & References