I'm not 100% certain about what you're asking, but each function and relation can have different solutions, either one of the three ways. (Always dealing with two equations) This is based off my Grade 10 Knowledge
One (Intersecting at one specific point)
None (Parallel Lines)
Coincident two lines with the same slope and intercept)
Refer back to : " y=mx+b " equation if needed.
If you are talking about the possible ways to find the solution (x,y), there are also three.
Elimination, (Removing one variable to solve the equation)
Substitution, (Knowing what x or y, and inputting in the second equation)
Graphing, (By drawing both equations, This method is not very accurate)
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The number of solutions to a system of equations depends on the specific equations in the system. It can have one unique solution, no solutions, or infinitely many solutions.
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.
if a dependent system of equation is solved, how many solutions will there be?
The answers to equations are their solutions
The answer follows: