Equivalence of Solution Set and Intersection Point

Let $$x$$ and $$y$$ be real numbers defined by the following equations:

Equation 1: $$2x + 3y = 12$$

Equation 2: $$4x - 6y + k = 0$$

Where $$k$$ is a constant. If we know that $$k = 0$$, compare the quantities:

Quantity A: The solution set of the system of equations

Quantity B: The point $$ (x,y) $$ where the graphs of the equations intersect.