Chat with our AI personalities
None, one or infinitely many.
There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.
If a system of equations is inconsistent, there are no solutions.
You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.
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.