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.
Teach it
Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.
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.