Use the elimination method to find all solutions of the system $$\begin{array}{l} x^2-4y^3=1, \\ x^2+4y^3=6. \\ \end{array}$$ The solutions of the system are:
$x_1 =$ , $y_1=$ and
$x_2 =$ , $y_2=$ with $x_1 <x_2$.