Solve for y
y=\frac{3x^{2}}{8}-\frac{23}{2}
Solve for x (complex solution)
x=-\frac{2\sqrt{6y+69}}{3}
x=\frac{2\sqrt{6y+69}}{3}
Solve for x
x=\frac{2\sqrt{6y+69}}{3}
x=-\frac{2\sqrt{6y+69}}{3}\text{, }y\geq -\frac{23}{2}
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-8y=92-3x^{2}
Subtract 3x^{2} from both sides.
\frac{-8y}{-8}=\frac{92-3x^{2}}{-8}
Divide both sides by -8.
y=\frac{92-3x^{2}}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{3x^{2}}{8}-\frac{23}{2}
Divide 92-3x^{2} by -8.
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