$$\left. \begin{array} { l } { 2 \sqrt { 2 } x + 5 y = 6 x - 6 x + 6 = 6 x + 6 } \\ { 9 x ^ { 2 } - 5 x = 16 - 6 x - 6 } \right.$$
$x=-\frac{\sqrt{2}\left(5y-6\right)}{4}$
$$2\sqrt{2}x+5y=6$$
$$2\sqrt{2}x=6-5y$$
$$\frac{2\sqrt{2}x}{2\sqrt{2}}=\frac{6-5y}{2\sqrt{2}}$$
$$x=\frac{6-5y}{2\sqrt{2}}$$
$$x=\frac{\sqrt{2}\left(6-5y\right)}{4}$$
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