Solve 5x-4/m=k

$$\frac { 5 x - 4 } { m } = k$$

Solve for k

$$k=\frac{5x-4}{m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by m.

$$5x-4=km$$

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

$$km=5x-4$$

The equation is in standard form.

$$mk=5x-4$$

Divide both sides by m.

$$\frac{mk}{m}=\frac{5x-4}{m}$$

Dividing by m undoes the multiplication by m.

$$k=\frac{5x-4}{m}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{5x-4}{k}\text{, }&x\neq \frac{4}{5}\text{ and }k\neq 0\\m\neq 0\text{, }&k=0\text{ and }x=\frac{4}{5}\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$5x-4=km$$

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

$$km=5x-4$$

Divide both sides by k.

$$\frac{km}{k}=\frac{5x-4}{k}$$

Dividing by k undoes the multiplication by k.

$$m=\frac{5x-4}{k}$$

Variable m cannot be equal to 0.

$$m=\frac{5x-4}{k}\text{, }m\neq 0$$