What is a inconsistent equation in math?
A system of two linear equations can have one solution, an infinite number of solutions, or no solution. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
How do you find the inconsistent equation?
To see if the pair of linear equations is consistent or inconsistent, we try to gain values for x and y. If both x and y have the same value, the system is consistent. The system becomes inconsistent when there are no x and y values that satisfy both equations.
What is an inconsistent variable?
Just as with systems of equations in two variables, we may come across an inconsistent system of equations in three variables, which means that it does not have a solution that satisfies all three equations.
Does inconsistent mean no solution?
A consistent system of equations has at least one solution, and an inconsistent system has no solution.
What is meaning by inconsistent?
Definition of inconsistent : lacking consistency: such as. a : not compatible with another fact or claim inconsistent statements. b : containing incompatible elements an inconsistent argument. c : incoherent or illogical in thought or actions : changeable.
What is inconsistent sentence?
Examples of Inconsistent in a sentence. 1. The weather pattern is too inconsistent to be predictable. 2. Because Riley’s athletic performance is inconsistent, his coaches never know if he’s going to have a good game or a bad game.
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.
Why there exists an inconsistent system of linear equation?
Inconsistent System Let both the lines to be parallel to each other, then there exists no solution, because the lines never intersect. Algebraically, for such a case, a 1 a 2 = b 1 b 2 ≠ c 1 c 2 and the pair of linear equations in two variables is said to be inconsistent.
What does inconstancy mean?
not constant; changeable; fickle
adjective. not constant; changeable; fickle; variable: an inconstant friend.
What is meant by consistent what is meant by inconsistent?
If atleast one set of values occurred for the unknowns that satisfies every equation in the system, then that system of equations is known as consistent. If no set of values satisfies the equation, then that system is known as inconsistent.