Solve 1km/h=1000m/3600s

$$1 km / h = 1000 m / 3600 s$$

Solve for h

$$\left\{\begin{matrix}h=\frac{18k}{5s}\text{, }&k\neq 0\text{ and }s\neq 0\\h\neq 0\text{, }&m=0\text{ or }\left(s=0\text{ and }k=0\right)\end{matrix}\right.$$

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 3600h, the least common multiple of h,3600.

$$3600\times 1km=h\times 1000ms$$

Multiply 3600 and 1 to get 3600.

$$3600km=h\times 1000ms$$

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

$$h\times 1000ms=3600km$$

The equation is in standard form.

$$1000msh=3600km$$

Divide both sides by 1000ms.

$$\frac{1000msh}{1000ms}=\frac{3600km}{1000ms}$$

Dividing by 1000ms undoes the multiplication by 1000ms.

$$h=\frac{3600km}{1000ms}$$

Divide 3600km by 1000ms.

$$h=\frac{18k}{5s}$$

Variable h cannot be equal to 0.

$$h=\frac{18k}{5s}\text{, }h\neq 0$$

Solve for k

$$\left\{\begin{matrix}k=\frac{5hs}{18}\text{, }&h\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }h\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3600h, the least common multiple of h,3600.

$$3600\times 1km=h\times 1000ms$$

Multiply 3600 and 1 to get 3600.

$$3600km=h\times 1000ms$$

The equation is in standard form.

$$3600mk=1000hms$$

Divide both sides by 3600m.

$$\frac{3600mk}{3600m}=\frac{1000hms}{3600m}$$

Dividing by 3600m undoes the multiplication by 3600m.

$$k=\frac{1000hms}{3600m}$$

Divide 1000hms by 3600m.

$$k=\frac{5hs}{18}$$