Solve DeltaS/Deltat=1KM/1H

$$\frac { \Delta S } { \Delta t } = \frac { 1 K M } { 1 H }$$

Solve for H

$$\left\{\begin{matrix}H=\frac{KMt}{S}\text{, }&M\neq 0\text{ and }t\neq 0\text{ and }K\neq 0\text{ and }S\neq 0\text{ and }\Delta \neq 0\\H\neq 0\text{, }&\left(M=0\text{ or }K=0\right)\text{ and }S=0\text{ and }t\neq 0\text{ and }\Delta \neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable H cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Ht\Delta , the least common multiple of \Delta t,1H.

$$H\Delta S=t\Delta \times 1KM$$

Reorder the terms.

$$HS\Delta =KMt\Delta$$

The equation is in standard form.

$$S\Delta H=KMt\Delta$$

Divide both sides by S\Delta .

$$\frac{S\Delta H}{S\Delta }=\frac{KMt\Delta }{S\Delta }$$

Dividing by S\Delta undoes the multiplication by S\Delta .

$$H=\frac{KMt\Delta }{S\Delta }$$

Divide KMt\Delta by S\Delta .

$$H=\frac{KMt}{S}$$

Variable H cannot be equal to 0.

$$H=\frac{KMt}{S}\text{, }H\neq 0$$

Solve for K

$$\left\{\begin{matrix}K=\frac{HS}{Mt}\text{, }&M\neq 0\text{ and }t\neq 0\text{ and }\Delta \neq 0\text{ and }H\neq 0\\K\in \mathrm{R}\text{, }&S=0\text{ and }M=0\text{ and }t\neq 0\text{ and }\Delta \neq 0\text{ and }H\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by Ht\Delta , the least common multiple of \Delta t,1H.

$$H\Delta S=t\Delta \times 1KM$$

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

$$t\Delta \times 1KM=H\Delta S$$

Reorder the terms.

$$KMt\Delta =HS\Delta$$

The equation is in standard form.

$$Mt\Delta K=HS\Delta$$

Divide both sides by Mt\Delta .

$$\frac{Mt\Delta K}{Mt\Delta }=\frac{HS\Delta }{Mt\Delta }$$

Dividing by Mt\Delta undoes the multiplication by Mt\Delta .

$$K=\frac{HS\Delta }{Mt\Delta }$$

Divide HS\Delta by Mt\Delta .

$$K=\frac{HS}{Mt}$$