Algebra 1 · Systems of Equations & Inequalities
Infinitely Many Solutions
Algebra 1 · Systems of Equations & Inequalities
Definition
A system has infinitely many solutions when both equations represent the same line, so every point on it is a solution.
Examples
- y = 2x + 1 and 2y = 4x + 2 are the same line.
- The two equations simplify to identical lines.
Key rule
Same line means every point works - infinite solutions.
Memory hook
Same line twice = infinite solutions.