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What does it mean for a system to be consistent or inconsistent?
Wiki User
∙ 14y ago
does it stay the same or not?
Actually, a system is inconsistent if you can derive two (or more) statements within the system which are contradictory. Otherwise it is consistent.
For example, Eucliadean geometry requires that given a line and a point not on that line, you can have one and only one line through the point which is parallel to the original line.
However, you can have a consistent system of geometry if you assume that there is no such parallel line. This is known as the projective plane.
You can assume that there will be an infinite number of parallel lines through a point not on the line. And again you can have a consistent system.
Consistency or inconsistency has nothing whatsoever to do with time.
Wiki User
∙ 14y ago
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Are Linear equation systems consistent or inconsistent?
It depends on the equations.
What is a inconsistent system?
An inconsistent system of equations is when you have 2 or more equations, but it is not possible to satisfy all of them at the same time. (E.g if you have 3 equations, but can only satisfy 2 at once, it is an inconsistent system).
Is the system of equations 3x-6y equals 12 and 2x-4y equals 3 dependent consistent inconsistent or independent?
The system is inconsistent because there is no solution, i.e., no ordered pair, that satisfies both equations. You can see that this will be the case by seeing that their graphs have the same slope (2) but different y-intercepts (2 and 3/4 respectively). So the lines are parallel and will not intersect.
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
What happens when Cramer's rule is applied to dependent or inconsistent systems?
We call the coefficients of the variables in the system D, and we need to find the determinant of D. When D = 0, the system is either inconsistent or dependent. You need another method to solve it.
In solving a system of two linear equations or two functions by graphing what is meant by if the system is consistent or inconsistent?
A system of linear equations is consistent if there is only one solution for the system. Thus, if you see that the drawn lines intersect, you can say that the system is consistent, and the point of intersection is the only solution for the system. A system of linear equations is inconsistent if it does not have any solution. Thus, if you see that the drawn lines are parallel, you can say that the system is inconsistent, and there is not any solution for the system.
What is the antonym for inconsistent?
consistent
All carbon atoms are identical is that consistent or inconsistent?
consistent
The difference between consistent and inconsistent in algebra?
Consistent means that the equation does not have the same slopes. Inconsistent means that it has the same slope.
What is an antonym for the word consistent?
inconsistent
What is the prefix for the word consistent?
inconsistent
What is the opposite for the word consistent?
Inconsistent.
What is the medical term meaning not consistent?
Inconsistent
How many solutions does an inconsistent system of equations have?
If a system is inconsistent it cannot have any solutions.A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.
What are synonyms and antonyms for inconsistent?
synonmyms variable and antonyms is consistent
Are Linear equation systems consistent or inconsistent?
It depends on the equations.
What are the three kinds of linear equations?
The three types of linear equations are: Consistent Dependent, Consistent Independent, and Inconsistent.
