Question 378107: 
Answer by robertb(5830)   (Show Source):
You can put this solution on YOUR website! 1) Add corresponding sides of the equations:  , or  . Substituting this into the top equation, we get  . Thus there are 4 solutions: ( , -2), (, 2), ( , -2), (, 2). (They represent the intersection points of a circle centered at (0,0) with radius 3 and a hyperbola with transverse axis corresponding to the x-axis.)
2)Multiply the top eq'n by 2, and then add corresponding sides:  , or  . Substituting into the lower eq'n, we get  , or  , or y = -1/2. Thus there are 2 solutions: (-3, -1/2) and (3, -1/2).
3) Multiply the top eq'n by 2, and then add corresponding sides: 1/y = 3, or y = 1/3. Substituting into the top eq'n, we get:  , or  , or x = 1/5.
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