The solutions on a system of equations are the points where the graphs of the given equations intercept. So if a graph has no intercepts, then the system has no solutions.
From this, we can see that the correct option is D.
-----------------------------------
From what we know about systems of equations, we need to look at the graph where the lines do not intersect.
There are 3 of these, A, C, and D
The problem is that in A and C, the lines are not exactly parallel, so at some given point these lines will eventually intersect, meaning that these systems have solutions.
But that is not the case for graph D, where we have two parallel lines whose, by definition, never intersect.
Then the correct option is D.
If you want to learn more, you can read:
https://brainly.com/question/9351049
