If it's a graph: Solutions are points of intersection
The same line means infinitely many solutions
Parallel lines = never intersects = no solution
1 point of intersection = 1 solution
If it's a system of equations:
If you get _*x = _(a number), 1 solution (divide by the coefficient, and get only 1 possible value)
If you get x = x, infinitely many solutions (x can be anything and still equal itself)
If you get two different constants equaling (such as 1 = 2), there is no solution because no value of x can make those two values equal.