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How many solutions does an independent system of equations have?
Wiki User
∙ 12y ago
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 eg
a + b = 3
a + b = 2
then there are no solutions.
If the system is incomplete (the relevant matrix is singular), you have an infinite number:
a + b + c = 1
a + 2b + 3c = 2
has 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 = 0
has a unique real-number solution since each on the brackets MUST be zero.
Wiki User
∙ 12y ago
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If an independent system of equations is solved how many solutions will there be?
your taking nova net..... its one solution.
How many solutions does an consistent and dependent system of equations have?
It has more than one solutions.
If a system of equations is dependent how many solutions will it have?
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
How many solutions does a nonlinear system of equations?
None, one or many - including infinitely many.
How many solutions does the nonlinear system of equations graphed when the graph open up and down?
A system of equations means that there are more than one equations. The answer depends on the exact function(s).
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 an independent system of equations is solved how many solutions will there be?
your taking nova net..... its one solution.
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 the system of linear equations shown have?
As there is no system of equations shown, there are zero solutions.
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?
Why a system of linear equations cannot have exactly two solutions?
A system of linear equations can only have: no solution, one solution, or infinitely many solutions.
How many solutions does an consistent and dependent system of equations have?
It has more than one solutions.
If a system of equations is dependent how many solutions will it have?
Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )
How many solutions exist for the following system of equations?
The answer follows:
How many solutions does an inconsistent system of equations have?
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.
If a system has many solutions what kind of system of equations is it?
Coincidental equations are really the same and are the same line. They have infinite solutions meaning that any solution for one will be a solution for the other.
How many solutions does a system of linear equations in three variables have?
1
