Posted by Trixie on .
How do you find the points of intersection, if any, of the equations:
x^2 + y^2 = 5
x  y = 1

algebra 2 
MathMate,
You would solve for one of the unknowns using the linear equation (xy=1 => x=y+1)
and substitute into the quadratic equation, and solve for the only unknown, y.
(y+1)^2+y^2=5
y^2+y2=0
y=1 or 2
Now substitute y=1 or 2 into the linear equation to get the corresponding values of x. This will complete the solution of two intersection points.