### Solving a system of equations

Hey guys, i have a bit of problem here.
I need to write a program where i have an equation (general equation of an elipse) which has six variables! and they also have x and y.(which makes it 8!!) the user enters six different sets of the (x,y) to get six equations. but after that, i.e. after getting six values of x and y, what do i do with my program. lets say, i make the program as follows ( equation is a(x*x) +b(y*y) + cxy + dx + ey +f = 0.

 ``12345678910111213141516171819202122232425`` ``````long double m,n,o,p,q,r,s,t,u,v,w,x; cout<<"Enter the first x coordinate - "; cin>>m; cout<<"Enter the first y coordinate - "; cin>>n; cout<<"Enter the second x coordinate - "; cin>>o; cout<<"Enter the second y coordinate - "; cin>>p; cout<<"Enter the third x coordinate - "; cin>>q; cout<<"Enter the third y coordinate - "; cin>>r; cout<<"Enter the fourth x coordinate - "; cin>>s; cout<<"Enter the fourth y coordinate - "; cin>>t; cout<<"Enter the fifth x coordinate - "; cin>>u; cout<<"Enter the fifth y coordinate - "; cin>>v; cout<<"Enter the sixth x coordinate - "; cin>>w; cout<<"Enter the sixth y coordinate - "; cin>>x;``````

What do i do with this now?
you already have the equation should be really easy to program but anyways... it would look like this

 `` `` ``result = ( a * x * x ) + ( b * y * y ) + ( c * x * y ) + ( d * x ) + ( e * y ) + f;``

Honestly I don't see 6 x's and y's in your formula.
Also that doesn't look like an ellipse formula to me.
Isn't an ellipse: x2/a2 + y2/b2 = 1