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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.

Q: If a system of equations is independent how many soultions will it have?

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If a system of equations is inconsistent, there are no solutions.

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.

A set of equations is inconsistent, if its solution set is empty.

When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.

if a dependent system of equation is solved, how many solutions will there be?

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your taking nova net..... its one solution.

If a system of equations is inconsistent, there are no solutions.

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.

As there is no system of equations shown, there are zero solutions.

A system of equations means that there are more than one equations. The answer depends on the exact function(s).

It depends. Partly on the domain over which your system of equations is defined - are they integer solutions? Reals or complex numbers? Are the equations linear or more complicated?In any case, there can be none, one or many - including infinitely many.If the system is inconsistent ega + b = 3a + b = 2then there are no solutions.If the system is incomplete (the relevant matrix is singular), you have an infinite number:a + b + c = 1a + 2b + 3c = 2has an infinite number of solutions.A set of n independent linear equations in n unknowns will have a unique solution.A single equation such as (a-2)2 + (b-3)2 + (c-7.5)2 = 0has a unique real-number solution since each on the brackets MUST be zero.

A set of equations is inconsistent, if its solution set is empty.

When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.

if a dependent system of equation is solved, how many solutions will there be?

There are three kinds:the equations have a unique solutionthe equations have no solutionthe equations have infinitely many solutions.

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