Solve i=xy^2z

$$i = x y ^ { 2 } z$$

Solve for x

$$x=\frac{i}{zy^{2}}$$

$$z\neq 0\text{ and }y\neq 0$$

Steps for Solving Linear Equation

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

$$xy^{2}z=i$$

The equation is in standard form.

$$zy^{2}x=i$$

Divide both sides by y^{2}z.

$$\frac{zy^{2}x}{zy^{2}}=\frac{i}{zy^{2}}$$

Dividing by y^{2}z undoes the multiplication by y^{2}z.

$$x=\frac{i}{zy^{2}}$$

Solve for y

$$y=\sqrt{2}\left(-\frac{1}{2}-\frac{1}{2}i\right)x^{-\frac{1}{2}}z^{-\frac{1}{2}}$$

$$y=\sqrt{2}\left(\frac{1}{2}+\frac{1}{2}i\right)x^{-\frac{1}{2}}z^{-\frac{1}{2}}\text{, }z\neq 0\text{ and }x\neq 0$$