Determine if the following system of equations has no solutions, infinitely many solutions or
exactly one solution.

Let’s analyze the given system of equations:

To determine the relationship between these equations, we can manipulate the second equation to see if it is a multiple of the first.

First, we can multiply the entire first equation by -2:

Now, we have two equations:

Notice that the left-hand sides of both equations are identical, but the right-hand sides are different (14 and 11). This indicates that these two equations represent parallel lines that never intersect.

Therefore, the system of equations has no solutions.