Solve z=m/ab

$$z = \frac { m } { a b }$$

Solve for a

$$\left\{\begin{matrix}a=\frac{m}{bz}\text{, }&m\neq 0\text{ and }b\neq 0\text{ and }z\neq 0\\a\neq 0\text{, }&z=0\text{ and }m=0\text{ and }b\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ab.

$$zab=m$$

Reorder the terms.

$$abz=m$$

The equation is in standard form.

$$bza=m$$

Divide both sides by bz.

$$\frac{bza}{bz}=\frac{m}{bz}$$

Dividing by bz undoes the multiplication by bz.

$$a=\frac{m}{bz}$$

Variable a cannot be equal to 0.

$$a=\frac{m}{bz}\text{, }a\neq 0$$

Solve for b

$$\left\{\begin{matrix}b=\frac{m}{az}\text{, }&m\neq 0\text{ and }a\neq 0\text{ and }z\neq 0\\b\neq 0\text{, }&z=0\text{ and }m=0\text{ and }a\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ab.

$$zab=m$$

Reorder the terms.

$$abz=m$$

The equation is in standard form.

$$azb=m$$

Divide both sides by az.

$$\frac{azb}{az}=\frac{m}{az}$$

Dividing by az undoes the multiplication by az.

$$b=\frac{m}{az}$$

Variable b cannot be equal to 0.

$$b=\frac{m}{az}\text{, }b\neq 0$$