The phrase "one solution" typically refers to a situation in the context of linear equations or systems of equations. Here's how it applies to the two scenarios you provided:
-
Two lines intersect at one point: This scenario indicates that there is exactly one solution to the system of equations represented by the two lines. The lines cross at a single point, which means there is one unique set of \(x\) and \(y\) coordinates that satisfy both equations.
-
Two lines are parallel: This situation implies that there is no solution to the system of equations because the lines do not intersect at any point. Since parallel lines have the same slope but different y-intercepts, they will never meet.
In summary, "one solution" pertains specifically to the first scenario where two lines intersect at one point.