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If a system is inconsistent it cannot have any solutions.
A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.
A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).
Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.
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If a system of equations is inconsitient how many solutions will it have?
If a system of equations is inconsistent, there are no solutions.
How many solutions does a system of linear equations have if it is inconsistant?
A set of equations is inconsistent, if its solution set is empty.
How many solutions does an inconsistent equation have?
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.
If a system of equations is independent how many soultions will it have?
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.
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?
