Are Coincident Lines Consistent?
When a Linear Pair of Equations Has One Solution (Intersecting Lines) or Infinitely Many Solutions (Coincident Lines), We Say That It Is a Consistent Pair. on...
When a linear pair of equations has one solution (intersecting lines) or infinitely many solutions (coincident lines), we say that it is a consistent pair. On the other hand, when a linear pair has no solution (parallel, non-coincident lines), we say that it is an inconsistent pair.
How do you know if a line is consistent or inconsistent?
If a consistent system has exactly one solution, it is independent .
- If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
- If a system has no solution, it is said to be inconsistent .
Is coincident consistent?
If the pair of lines are coincident, then we say that pair is consistent and it has a unique solution.
Alexander Ross has covered the video game industry for a decade, writing deep dives on game design, esports tournaments, VR developments, and gaming culture.
