Step-by-step explanation:
[tex] {x}^{3} + ( \frac{1}{a} )y = xy + 9[/tex]
[tex]x {}^{3} + \frac{y}{ay} = xy + 9[/tex]
[tex]x {}^{3 } = xy + 9 - \frac{y}{ay} [/tex]
[tex] {x}^{3} - 9 = xy - \frac{y}{ay} [/tex]
[tex] {x}^{3} - 9 = y(x - \frac{1}{a} )[/tex]
Divide both sides by x-1/a
[tex] \frac{x {}^{3} - 9}{x - \frac{1}{a} } = y[/tex]
