Solve W/Kx=y

$$\frac { W } { K x } = y$$

Solve for K

$$\left\{\begin{matrix}K=\frac{W}{xy}\text{, }&W\neq 0\text{ and }x\neq 0\text{ and }y\neq 0\\K\neq 0\text{, }&y=0\text{ and }W=0\text{ and }x\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$W=yKx$$

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

$$yKx=W$$

The equation is in standard form.

$$xyK=W$$

Divide both sides by yx.

$$\frac{xyK}{xy}=\frac{W}{xy}$$

Dividing by yx undoes the multiplication by yx.

$$K=\frac{W}{xy}$$

Variable K cannot be equal to 0.

$$K=\frac{W}{xy}\text{, }K\neq 0$$

Solve for W

$$W=Kxy$$

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

Solution Steps

Multiply both sides of the equation by Kx.

$$W=yKx$$

Reorder the terms.

$$W=Kxy$$