Solve 1km/s=xm/h

$$1 \frac { k m } { s } = x \frac { m } { h }$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{sx}{h}\text{, }&s\neq 0\text{ and }h\neq 0\\k\in \mathrm{C}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hs, the least common multiple of s,h.

$$1hkm=xsm$$

Reorder the terms.

$$hkm=msx$$

The equation is in standard form.

$$hmk=msx$$

Divide both sides by hm.

$$\frac{hmk}{hm}=\frac{msx}{hm}$$

Dividing by hm undoes the multiplication by hm.

$$k=\frac{msx}{hm}$$

Divide msx by hm.

$$k=\frac{sx}{h}$$

Solve for h

$$\left\{\begin{matrix}h=\frac{sx}{k}\text{, }&s\neq 0\text{ and }x\neq 0\text{ and }k\neq 0\\h\neq 0\text{, }&\left(m=0\text{ and }s\neq 0\right)\text{ or }\left(s\neq 0\text{ and }k=0\text{ and }x=0\right)\end{matrix}\right.$$

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 hs, the least common multiple of s,h.

$$1hkm=xsm$$

Reorder the terms.

$$hkm=msx$$

The equation is in standard form.

$$kmh=msx$$

Divide both sides by km.

$$\frac{kmh}{km}=\frac{msx}{km}$$

Dividing by km undoes the multiplication by km.

$$h=\frac{msx}{km}$$

Divide msx by km.

$$h=\frac{sx}{k}$$

Variable h cannot be equal to 0.

$$h=\frac{sx}{k}\text{, }h\neq 0$$

Solve for k

$$\left\{\begin{matrix}k=\frac{sx}{h}\text{, }&s\neq 0\text{ and }h\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hs, the least common multiple of s,h.

$$1hkm=xsm$$

Reorder the terms.

$$hkm=msx$$

The equation is in standard form.

$$hmk=msx$$

Divide both sides by hm.

$$\frac{hmk}{hm}=\frac{msx}{hm}$$

Dividing by hm undoes the multiplication by hm.

$$k=\frac{msx}{hm}$$

Divide msx by hm.

$$k=\frac{sx}{h}$$