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.
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.