8th Grade · Expressions & Equations

Substitution

8.EE.C.8b

Definition

A method for solving a system by replacing one variable with an equivalent expression from another equation, reducing it to a single-variable equation.

Examples

  • y = 2x and x+y = 9: substitute to get x+2x = 9, so x = 3, y = 6.
  • Best when a variable is already alone in one equation.

Key rule

Solve one equation for a variable, then substitute it into the other equation.

Memory hook

Swap one variable for its equivalent expression.