8th Grade · Expressions & Equations
No Solution
8.EE.C.7a
Definition
Occurs when solving an equation eliminates the variable and leaves a false statement. The two sides can never be equal, shown graphically by parallel lines.
Examples
- 2x+5=2x+3 simplifies to 5=3 — false.
- Graphically, the two lines are parallel and never intersect.
Key rule
A false statement with no variable left means no solution.
Memory hook
Variable disappears, statement is false — no solution.