Algebra 1 · Systems of Equations & Inequalities
No Solution
Algebra 1 · Systems of Equations & Inequalities
Definition
A system has no solution when the lines are parallel and never intersect, so no ordered pair satisfies both.
Teach it
Where it is taught, with guided notes, practice, homework, an exit ticket and an interactive Teacher Deck.
Examples
- y = x + 3 and y = x + 1 are parallel − no solution.
- Same slope, different intercepts means no solution.
Key rule
Parallel lines never cross, so there is no solution.
Memory hook
Parallel lines never meet = no solution.