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What is consistent system?

Updated: 9/18/2023
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Q: What is consistent system?
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What is meant by a consistent system especially in Mathematics?

In mathematics a system is said to be consistent if it does not contain proofs for statement P and the negation of P. It is, however, possible to have one consistent system where P is true and another consistent system where ~P is true.


Why are the SI units consistent?

The system was designed so that they would be consistent.


SI is considered a consistent system because?

It is


what- use the slopes and y- intercept of the lines to determine the number of solutions to the system?

consistent dependent


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.


When will the system of linear equation be consistent?

When its matrix is non-singular.


When a system of equations has one or more solutions it is called?

Consistent.


Why do you use preferably the metric system over English system?

It is well-defined, consistent and more practical.


A system of linear equations that has soluton is?

A system of linear equations that has at least one solution is called consistent.


How did the values identified in John Locke's Social Contract Theory become consistent with the criminal justice system?

How did the values identified in John Locke's Social Contract Theory become consistent with the criminal justice system?


What does it mean for a system to be consistent or inconsistent?

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.


What type of system of linear equation is y equals -3x-1 and 3x plus -1?

A consistent system.