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At least two - otherwise you have just one equation, not a system.

Q: How many facts need to have when formulating a system of equations?

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

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.

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?

Related questions

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

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.

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).

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?

The answer follows:

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

Infinite simultaneous solutions. (The two equations represent the same line) OR If your in nova net the answer should be ( Many )

dependent