SOLUTION: I need to find the exact solutions for the systems x^2+y^2=4 and x^2/4+y^2/8=1 I don't want you to give me the answer, I just want to know how to do it.

Algebra ->  Systems-of-equations -> SOLUTION: I need to find the exact solutions for the systems x^2+y^2=4 and x^2/4+y^2/8=1 I don't want you to give me the answer, I just want to know how to do it.      Log On


   

Question 304286: I need to find the exact solutions for the systems
x^2+y^2=4 and x^2/4+y^2/8=1
I don't want you to give me the answer, I just want to know how to do it.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
solve the first equation for x^2 or y^2, then substitute the value into the second equation

take the TWO solutions and substitute back into the first equation to find the corresponding values for the other variable


these are the equations for a circle and an ellipse
___ depending on the size, shape, and location; there may be as few as zero or as many as four solutions (points of intersection)