Q:

if the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?OnThe lines in a system cannot be parallel.OB.There is no solution.Oc.There is exactly one solution.OD.There are infinitely many solutions.

Accepted Solution

A:
Answer:b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.Step-by-step explanation:Parallel Lines: Two straight lines l and m are said to be parallel if they do not intersect at any point, if infinitely extended in either direction.Now, if the graphs of the linear equations in a system are parallel⇒ By the definition, both the graphs have NO INTERSECTING POINT.⇒There is not even one common point available to the given system of      equation.Hence, There is no solution to the given system of equation.