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How many solutions does an consistent and dependent system of equations have?
It has more than one solutions.
How many solutions does the nonlinear system of equations graphed below have?
2
How many solutions does a nonlinear system of equations?
None, one or many - including infinitely many.
How many solutions does the nonlinear system of equations graphed when the graph open up and down?
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
If an independent system of equations is solved how many solutions will there be?
your taking nova net..... its one solution.
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?
How many solutions does an consistent and dependent system of equations have?
It has more than one solutions.
If a system of linear equations has many solutions what would be the correct mathematical description of the system?
dependent
If a system of equations is inconsitient how many solutions will it have?
If a system of equations is 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 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.
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.
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.
Why could a system of linear equations have two solutions?
A system of linear equations cannot have two distinct solutions if it is consistent and defined in a Euclidean space. If two linear equations intersect at a single point, they have one solution; if they are parallel, they have no solutions. However, if the equations are dependent, meaning one equation is a multiple of the other, they represent the same line and thus have infinitely many solutions, not just two. Therefore, in standard scenarios, a system of linear equations can either have one solution, no solutions, or infinitely many solutions, but not exactly two.
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.
How many solutions does the system of linear equations shown have?
As there is no system of equations shown, there are zero solutions.
What systems of equations is infinitely many solutions?
A system of equations has infinitely many solutions when the equations represent the same line or plane. In a two-variable scenario, this occurs when both equations can be simplified to the same linear equation, meaning they are dependent. Graphically, this results in overlapping lines. For example, the equations (2x + 3y = 6) and (4x + 6y = 12) represent the same line and thus have infinitely many solutions.
