SOLUTION: How do u find in two sets of equations have points in common 2x^2+3y^2=19 x^2+y^2=9

Question 453703: How do u find in two sets of equations have points in common
2x^2+3y^2=19
x^2+y^2=9
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
How do u find in two sets of equations have points in common
2x^2+3y^2=19
x^2+y^2=9 --> y^2 = 9-x^2
sub for y^2 in the 1st eqn and solve for x
2x^2+3y^2=19
2x^2 + 3(9-x^2) = 19
-x^2 = -8
x = +/- sqrt(8)
The solutions are real numbers, so there are intersections.
Sub each value for x and find 2 values of y (in either equation).
4 intersections.

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