Solve ?m/s=7.2km/h

$$? m / s = 7.2 km / h$$

Solve for h

$$\left\{\begin{matrix}\\h\neq 0\text{, }&\text{unconditionally}\\h=\frac{36ks}{5}\text{, }&k\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

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.

$$hm=s\times 7.2km$$

Reorder the terms.

$$hm=7.2kms$$

The equation is in standard form.

$$mh=\frac{36kms}{5}$$

Divide both sides by m.

$$\frac{mh}{m}=\frac{36kms}{5m}$$

Dividing by m undoes the multiplication by m.

$$h=\frac{36kms}{5m}$$

Divide \frac{36kms}{5} by m.

$$h=\frac{36ks}{5}$$

Variable h cannot be equal to 0.

$$h=\frac{36ks}{5}\text{, }h\neq 0$$

Solve for k

$$\left\{\begin{matrix}k=\frac{5h}{36s}\text{, }&s\neq 0\text{ and }h\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }s\neq 0\text{ and }h\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$hm=s\times 7.2km$$

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

$$s\times 7.2km=hm$$

The equation is in standard form.

$$\frac{36ms}{5}k=hm$$

Divide both sides by 7.2sm.

$$\frac{5\times \frac{36ms}{5}k}{36ms}=\frac{5hm}{36ms}$$

Dividing by 7.2sm undoes the multiplication by 7.2sm.

$$k=\frac{5hm}{36ms}$$

Divide hm by 7.2sm.

$$k=\frac{5h}{36s}$$