Solve ?m/s=72km/h

$$? m / s = 72 km / h$$

Solve for h

$$\left\{\begin{matrix}h=72ks\text{, }&k\neq 0\text{ and }s\neq 0\\h\neq 0\text{, }&m=0\text{ and }s\neq 0\end{matrix}\right.$$

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 hs, the least common multiple of s,h.

$$hm=s\times 72km$$

Reorder the terms.

$$hm=72kms$$

The equation is in standard form.

$$mh=72kms$$

Divide both sides by m.

$$\frac{mh}{m}=\frac{72kms}{m}$$

Dividing by m undoes the multiplication by m.

$$h=\frac{72kms}{m}$$

Divide 72kms by m.

$$h=72ks$$

Variable h cannot be equal to 0.

$$h=72ks\text{, }h\neq 0$$

Solve for k

$$\left\{\begin{matrix}k=\frac{h}{72s}\text{, }&s\neq 0\text{ and }h\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }s\neq 0\text{ and }h\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$hm=s\times 72km$$

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

$$s\times 72km=hm$$

The equation is in standard form.

$$72msk=hm$$

Divide both sides by 72sm.

$$\frac{72msk}{72ms}=\frac{hm}{72ms}$$

Dividing by 72sm undoes the multiplication by 72sm.

$$k=\frac{hm}{72ms}$$

Divide hm by 72sm.

$$k=\frac{h}{72s}$$