8th Grade · Expressions & Equations

Solution of a System

8.EE.C.8a

Definition

The ordered pair of values that makes every equation in the system true at the same time, shown as the intersection point of the graphs.

Examples

  • (1,3) solves both y=2x+1 and y=-x+4.
  • Substitute the point into all equations to verify.

Key rule

The solution must satisfy every equation in the system.

Memory hook

The one point that works in every equation.