How do you find out how many solutions a equation has as in dependent inconsistent and independent?

Firstly, note that If an equation has at least one solution, it is said to be consistent
but If an equation has no solution, it is said to be inconsistent
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.
If a consistent system has exactly one solution, it is independent