Algebra 1 · Systems of Equations & Inequalities

Elimination Method

Algebra 1 · Systems of Equations & Inequalities

Definition

The elimination method solves a system by adding or subtracting the equations to eliminate one variable.

Examples

  • Add x + y = 6 and x - y = 2 to get 2x = 8.
  • Multiply an equation first if needed to line up a variable.

Key rule

Combine the equations so one variable cancels out.

Memory hook

Eliminate = cancel a variable by adding.