9000020901

The solution of the given set of equations can be interpreted as the intersection of the curves shown in the figure. Find the solution of the system in $\mathbb{R}\times \mathbb{R}$. $$\begin{array}{rlrlrlrlrlrlrlr}& 2x^2& -& 3y& {}^2& =2& 4& & & & & & & & \\ & 2x& -& 3y& & =& 0& & & & & & & & \end{array}$$