Using y = mx + b
8y = 4x - 16 ⇒ y = [tex]\frac{1}{2}x[/tex] - 2
-x = -2y - 4 ⇒ 2y - x = - 4 ⇒ 2y = x - 4 ⇒ y = [tex]\frac{1}{2}x[/tex] - 2
Since the equations have the same slope ([tex]\frac{1}{2}x[/tex]) and y-intercepts (-2), then they are the same line. Thus, they intersect at every point so have infinite solutions.
Answer: A
