Solve e^z-xyz=0

$$e ^ { z } - x y z = 0$$

Solve for x

$$x=\frac{e^{z}}{yz}$$

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

Steps for Solving Linear Equation

Subtract e^{z} from both sides. Anything subtracted from zero gives its negation.

$$-xyz=-e^{z}$$

The equation is in standard form.

$$\left(-yz\right)x=-e^{z}$$

Divide both sides by -yz.

$$\frac{\left(-yz\right)x}{-yz}=-\frac{e^{z}}{-yz}$$

Dividing by -yz undoes the multiplication by -yz.

$$x=-\frac{e^{z}}{-yz}$$

Divide -e^{z} by -yz.

$$x=\frac{e^{z}}{yz}$$

Solve for y

$$y=\frac{e^{z}}{xz}$$

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

Steps for Solving Linear Equation

Subtract e^{z} from both sides. Anything subtracted from zero gives its negation.

$$-xyz=-e^{z}$$

The equation is in standard form.

$$\left(-xz\right)y=-e^{z}$$

Divide both sides by -xz.

$$\frac{\left(-xz\right)y}{-xz}=-\frac{e^{z}}{-xz}$$

Dividing by -xz undoes the multiplication by -xz.

$$y=-\frac{e^{z}}{-xz}$$

Divide -e^{z} by -xz.

$$y=\frac{e^{z}}{xz}$$