posted by Trixie .
How do you find the points of intersection, if any, of the equations:
x^2 + y^2 = 5
x - y = 1
You would solve for one of the unknowns using the linear equation (x-y=1 => x=y+1)
and substitute into the quadratic equation, and solve for the only unknown, y.
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.