Question

Find the exact solution of the system of equations of x^2+y^2-4x-6y+4=0 and x^2-4x-3y+4=0

Answer 1

We can readily know the x^2-4x+4=3y then use it to replace the same function in the first equation which refers to the 3y+y^2-6y=0 
                                                              y^2-3y=0
                                                             y(y-3)=0
                                                               y1=0 -----------y2=3