Cosmo's Formula
Written by Christopher Speck
This will solve for x and y given x1,x2,y1,y2,a1,a2 from a quadratic equation.
That simple
i.e.

x1 y1 a2    x2 y2 a2

1x+3y=16 = 14x+5y=49
What is y, what is x?
This program solves for x and y.