2. OPEN RESPONSE Consider the system of
   equations. (Lesson )
   

To find the solutions for the given system of equations, we can substitute the second equation into the first. By solving these equations, we find that both represent the same line when simplified, leading to infinite solutions. This makes the system dependent because the equations do not intersect at a single point but rather lie on top of each other.

In terms of graphical representation, if you were to plot both equations on a coordinate plane, you’d see that they perfectly overlap. This visual helps reinforce the concept of dependent systems, indicating that there’s an infinite number of points (solutions) that satisfy both equations at once, rather than just one unique point or none at all.