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
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.
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.
this means you have no more than 5 solutions in a system of equations.
If a system of equations is inconsistent, there are no solutions.
if a dependent system of equation is solved, how many solutions will there be?
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.
your taking nova net..... its one solution.
this means you have no more than 5 solutions in a system of equations.
How many solutions does an inconsistent system have
There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.
If a system of equations is inconsistent, there are no solutions.
If the system is for more than two variables there will be an infinite number of solutions since only two of the variables can be determined while the rest will be free to take any value. Also, technically, it does not matter what the system is independent of. What matters is that the linear equations are independent of one another.
if a dependent system of equation is solved, how many solutions will there be?
infinitely many solutions :)
no solutions
No Solutions
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.