Question

If the graphs of the linear equations in a system are parallel, what does that mean about the possible solution(s) of the system?

On
The lines in a system cannot be parallel.
OB.
There is no solution.
Oc.
There is exactly one solution.
OD.
There are infinitely many solutions.

Answer 1

b) If the graphs of the linear equations in a system are parallel, there is no solution to the given system of equation.

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.