Infinite simultaneous solutions. (The two equations represent the same line)
OR
If your in nova net the answer should be ( Many )
It has more than one solutions.
2
None, one or many - including infinitely many.
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
your taking nova net..... its one solution.
if a dependent system of equation is solved, how many solutions will there be?
It has more than one solutions.
dependent
If a system of equations is inconsistent, there are no solutions.
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.
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.
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.
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.
One equation is simply a multiple of the other. Equivalently, the equations are linearly dependent; or the matrix of coefficients is singular.
As there is no system of equations shown, there are zero solutions.
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
The graphs of a system of two equations in two variables can determine the solutions to the system. If the graphs intersect at a single point, that point represents the unique solution. If the graphs are parallel and do not intersect, the system has no solution (inconsistent). If the graphs coincide, there are infinitely many solutions (dependent).