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If a dependent system of equations is solved how many solutions will there be?
if a dependent system of equation is solved, how many solutions will there be?
If a system of linear equations has many solutions what would be the correct mathematical description of the system?
dependent
What is the difference between a consistent independent system a consistent dependent system and an inconsistent system?
A consistent independent system has exactly one solution, meaning the equations intersect at a single point. A consistent dependent system has infinitely many solutions, as the equations represent the same line or plane. An inconsistent system has no solutions, as the equations represent parallel lines or planes that never intersect.
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.
Is it possible to have a system of equations that has more than one solution?
Yes, a system of equations can have more than one solution if the equations represent the same line or plane in a geometric sense. In such cases, there are infinitely many solutions that satisfy all equations simultaneously. This typically occurs in systems of linear equations where the equations are dependent. Conversely, if the equations are independent, the system will either have a unique solution or no solution at all.
If a dependent system of equations is solved how many solutions will there be?
if a dependent system of equation is solved, how many solutions will there be?
What is a dependent system?
A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.
What are equations with the same solution?
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
If a system of linear equations has many solutions what would be the correct mathematical description of the system?
dependent
What is the difference between a consistent independent system a consistent dependent system and an inconsistent system?
A consistent independent system has exactly one solution, meaning the equations intersect at a single point. A consistent dependent system has infinitely many solutions, as the equations represent the same line or plane. An inconsistent system has no solutions, as the equations represent parallel lines or planes that never intersect.
What is system dependability?
A dependent system is defined as "a system of equations that has infinite solutions." It is an equation that is used in various mathematical situations.
How many solutions does an consistent and dependent system of equations have?
It has more than one 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 is an ordered pair that makes all equations in a system true?
That would be the "solution" to the set of equations.
If a system of equations is dependent how many solutions will it have?
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
Is it possible to have a system of equations that has more than one solution?
Yes, a system of equations can have more than one solution if the equations represent the same line or plane in a geometric sense. In such cases, there are infinitely many solutions that satisfy all equations simultaneously. This typically occurs in systems of linear equations where the equations are dependent. Conversely, if the equations are independent, the system will either have a unique solution or no solution at all.
A system of two linear equations has infinitely many solutions if?
One equation is simply a multiple of the other. Equivalently, the equations are linearly dependent; or the matrix of coefficients is singular.
