MODERATE EXERCISES


(5)

 Sketch the following systems and find any real solutions:

 (a)  x2 + y2 = 25 and x2 - y2 = 7

 (b)  16x2 + 9y2 = 144 and y = x2 + 5


HINT:

(a) is a circle and a hyperbola,  (b) is a parabola and an ellipse.  Sketch the graphs 
first to see if they intersect, then solve by substitution or elimination if they do.

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