Solve 3=0.125piy^2+xy

$$3=0.125 \pi { y }^{ 2 } +xy$$

Solve for x

$$x=-\frac{\pi y}{8}+\frac{3}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$0.125\pi y^{2}+xy=3$$

Subtract 0.125\pi y^{2} from both sides.

$$xy=3-0.125\pi y^{2}$$

The equation is in standard form.

$$yx=-\frac{\pi y^{2}}{8}+3$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{-\frac{\pi y^{2}}{8}+3}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{-\frac{\pi y^{2}}{8}+3}{y}$$

Divide 3-\frac{\pi y^{2}}{8} by y.

$$x=-\frac{\pi y}{8}+\frac{3}{y}$$

Solve for y (complex solution)

$$y=-\frac{4\left(\sqrt{x^{2}+\frac{3\pi }{2}}+x\right)}{\pi }$$

$$y=-\frac{4\left(-\sqrt{x^{2}+\frac{3\pi }{2}}+x\right)}{\pi }$$

Solve for y

$$y=\frac{2\left(-\sqrt{2\left(2x^{2}+3\pi \right)}-2x\right)}{\pi }$$

$$y=\frac{2\left(\sqrt{2\left(2x^{2}+3\pi \right)}-2x\right)}{\pi }$$