What is a consistent linear system?
Answers
1. If a consistent system has exactly one solution, it is independent .
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 .
2.That means that the system of equations they represent has no solution. ... A system with exactly one solution is called a consistent system. To identify a system as consistent, inconsistent, or dependent, we can graph the two lines on the same graph and see if they intersect, are parallel, or are the same line.
3.In mathematics and in particular in algebra, a linear or nonlinear system of equations is consistent if there is at least one set of values for the unknowns that satisfies every equation in the system—that is, that when substituted into each of the equations makes each equation hold true as an identity.