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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 (-1 1) a solution to this system of equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
What system has infinite solutions?
A system of linear equations has infinite solutions when the equations represent the same line or plane in a geometric sense. This occurs when at least one equation can be expressed as a scalar multiple or a linear combination of the others, resulting in dependent equations. In such cases, there are infinitely many points (solutions) that satisfy all equations simultaneously.
How many solutions does an consistent and dependent system of equations have?
It has more than one solutions.
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.
If a system of linear equations has many solutions what would be the correct mathematical description of the system?
dependent
If an independent system of equations is solved how many solutions will there be?
your taking nova net..... its one solution.
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 )
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.
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.
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 the solution of the system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
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 the definition of solution of system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
Is (-1 1) a solution to this system of equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
