Types of Solutions: Linear 1-Variable Equations

Let’s think of the path of two planes and assume they are flying in a straight line. You could write an expression that represents their distance above the ground and determine if the planes are either a) on paths that will eventually cross (one solution) b) on the same path (infinite solutions) or c) on paths that will never cross (no solution). This same concept could be applied to a business model that is trying to figure out when their company will break even on production costs of a new product. If production costs continue at the same rate as earnings, then no solution would be found. Obviously, a company would hopefully have figured this out before production. Case in point, mathematics is the language used to explain the world in which we live. All mathematics was developed at some time in our past to model a situation and from these models we can now explain new and different situations.