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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.
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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.
How many solutions does the nonlinear system of equations graphed below have?
2
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.
