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
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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.
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?
infinitely many solutions :)