The distance between two towns is 75 km. the distance between the two towns on a map is 1.5 cm. what is the scale on the map?

Divide actual distance by the distance on the map:

75 km / 1.5 cm = 50

The scale would be 1 cm = 50 km

If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.

If the final equation is a true equation, like 3=3, then the system has an infinite number of solutions  (the equations graph the same line, and all points appear on both graphs)

If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)