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How many solutions does an inconsistent system have

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If a system of equations is inconsitient how many solutions will it have?

If a system of equations is inconsistent, there are no solutions.


How many solutions does an inconsistent equation have?

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.


If a system has no solutions what type of system is this?

inconsistent


How many solutions does a system of linear equations have if it is inconsistant?

A set of equations is inconsistent, if its solution set is empty.


How many solutions does an independent system have?

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


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 the possible solutions for a pair of linear equation?

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.


Is the system of equations is consistent consistent and coincident or inconsistent?

A system of equations is considered consistent if it has at least one solution, and it is coincident if all solutions are the same line (infinitely many solutions). If the system has no solutions, it is inconsistent. To determine the nature of a specific system, you need to analyze its equations; for example, if two equations represent the same line, it is consistent and coincident, while parallel lines indicate inconsistency.


How many solutions did this linear system have?

To determine how many solutions a linear system has, we need to analyze the equations involved. A linear system can have one unique solution, infinitely many solutions, or no solution at all. This is usually assessed by examining the coefficients and constants of the equations, as well as using methods like substitution, elimination, or matrix analysis. If the equations are consistent and independent, there is one solution; if they are consistent and dependent, there are infinitely many solutions; and if they are inconsistent, there are no solutions.


The three quantities of solution linear equations?

The three quantities of solution for linear equations are consistent, inconsistent, and dependent. A consistent system has at least one solution, either unique or infinitely many. An inconsistent system has no solutions, meaning the equations represent parallel lines that never intersect. A dependent system has infinitely many solutions, indicating that the equations represent the same line in different forms.


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

inconsistent


What is the definition of a system of equations?

A system of equations is a set of two or more equations that share common variables. The solutions to the system are the values of the variables that satisfy all equations simultaneously. Systems can be classified as consistent (having at least one solution) or inconsistent (having no solutions), and they can also be classified based on the number of solutions, such as having a unique solution or infinitely many solutions.