# Keyword Analysis & Research: consistent and dependent system of equations

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What's is consistent independent system of equations?

Systems of equations can be classified by the number of solutions. If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent .

What is consistent system of linear equations?

What is meant by consistent equations? In mathematics and particularly in algebra, a linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

What is the definition of consistent system?

Systems of equations can be placed into two categories: consistent and inconsistent. A consistent system of equations is a system that has at least one solution. An inconsistent system of equations is a system that has no solution.

What does consistent mean in math?

In mathematics and particularly in algebra, a linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.