Algebra 1 · Systems of Equations & Inequalities

Solution of a System

Algebra 1 · Systems of Equations & Inequalities

Definition

The solution of a system is the ordered pair (x, y) that satisfies all equations in the system.

Examples

  • (2, 3) solves both y = x + 1 and y = -x + 5.
  • Check the pair in every equation.

Key rule

A true solution makes each equation in the system true.

Memory hook

One pair that works in every equation.