Answer:
4
Step-by-step explanation:
х^2 – 4у^2 = 16 is the equation of a hyperbola with center at the origin. Parts of this graph show up in all four quadrants.
Similarly, x^2 + y^2 = 36 is the equation of a circle with center at the origin); the graph shows up in all four quadrants.
So there is an intersection of the graphs in all four quadrants. Therefore, 4 is the maximum number of possible solutions of the system shown.
