Final answer:
The process involves solving each system using methods like substitution or elimination to find their respective intersection points.
Step-by-step explanation:
To determine the systems of equations that have the point 'a' as their point of intersection, each set of equations must be analyzed. The point 'a' refers to a specific point whose coordinates are not explicitly given, thus we cannot directly identify which system intersects at that point without additional information. However, we can discuss the process of finding the intersection point of two linear equations.
All the systems provided (A, B, C, and D) are pairs of linear equations, which when graphed, could potentially intersect at some point on the plane. The intersection point is where the two lines described by the equations cross, and it can be found by solving the system of equations - typically by methods such as substitution or elimination.
As an example, let's consider system A:
To solve this system, you could solve the second equation for x, giving x = y + 4, and then substitute this into the first equation and solve for y. Once y is found, it can be plugged back into x = y + 4 to find x, thus giving you the intersection point 'a'.