How many solutions does an inconsistent system have
None
The noun form of the word inconsistent is inconsistency.
From Inconstant Base: Constant- meaning a continuous manner. Prefix: In- meaning not. Inconsistent: something that is inconstant.
inconsistent
inconsistent
The equation or a system of equations having infinite solutions is called identity/identities. (a+b)^2=a^2+2ab+b^2 is an identity. It has infinite solutions. The equation is true for all values of a and b.
If a system of equations is inconsistent, there are no solutions.
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
inconsistent
An inconsistent equation (or system of equations) is one that has no possible solutions.
A set of equations is inconsistent, if its solution set is empty.
an independent system only has one solution, a dependent has many or an infinite number and an inconsistent system has 0 because the line are parelle
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.
Any system of linear equations can have the following number of solutions: 0 if the system is inconsistent (one of the equations degenerates to 0=1) 1 if the system is linearly independent infinity if the system has free variables and is not inconsistent.
inconsistent
if a dependent system of equation is solved, how many solutions will there be?
It is an 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).