$$\left\{\begin{matrix} 4x+3y=-1 \\ 2 { x }^{ 2 } =y+11 \end{matrix}\right.$$
$x=2\text{, }y=-3$
$x=-\frac{8}{3}\approx -2.666666667\text{, }y=\frac{29}{9}\approx 3.222222222$