How many solutions are there to the systems of equations?

Answer 1

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)

Answer 2

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.