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?

A) there are infinitely many solutions
B) the lines in a system cannot be parallel
C) there is no solution
D) there is exactly one solution

Answer 1

When the graphs of linear equations in a system are parallel, there is no solution to the system.

Step-by-step explanation:

When the graphs of linear equations in a system are parallel, it means there is no solution to the system. This is because parallel lines have the same slope but different y-intercepts, so they will never intersect.

For example, if we have the equations y = 3x + 2 and y = 3x + 5, the lines will be parallel and will never intersect. Therefore, there is no solution to this system.

In conclusion, when the graphs of linear equations in a system are parallel, there is no solution to the system.

Answer 2

THE ANSWER IS C

if lines are parallel they never intersect, the correct answer is c) there is no solution