Solve for y
y=-\frac{x^{2}-15}{3x-1}
x\neq \frac{1}{3}
Solve for x
x=\frac{\sqrt{9y^{2}+4y+60}-3y}{2}
x=\frac{-\sqrt{9y^{2}+4y+60}-3y}{2}
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3xy-y=15-x^{2}
Subtract x^{2} from both sides.
\left(3x-1\right)y=15-x^{2}
Combine all terms containing y.
\frac{\left(3x-1\right)y}{3x-1}=\frac{15-x^{2}}{3x-1}
Divide both sides by 3x-1.
y=\frac{15-x^{2}}{3x-1}
Dividing by 3x-1 undoes the multiplication by 3x-1.
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