Solve 15km/h=m/s

$$15 \frac { k m } { h } = \frac { m } { s }$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{h}{15s}\text{, }&h\neq 0\text{ and }s\neq 0\\k\in \mathrm{C}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$15skm=hm$$

Reorder the terms.

$$15kms=hm$$

The equation is in standard form.

$$15msk=hm$$

Divide both sides by 15ms.

$$\frac{15msk}{15ms}=\frac{hm}{15ms}$$

Dividing by 15ms undoes the multiplication by 15ms.

$$k=\frac{hm}{15ms}$$

Divide hm by 15ms.

$$k=\frac{h}{15s}$$

Solve for h

$$\left\{\begin{matrix}h=15ks\text{, }&s\neq 0\text{ and }k\neq 0\\h\neq 0\text{, }&m=0\text{ and }s\neq 0\end{matrix}\right.$$

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 h,s.

$$15skm=hm$$

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

$$hm=15skm$$

The equation is in standard form.

$$mh=15kms$$

Divide both sides by m.

$$\frac{mh}{m}=\frac{15kms}{m}$$

Dividing by m undoes the multiplication by m.

$$h=\frac{15kms}{m}$$

Divide 15skm by m.

$$h=15ks$$

Variable h cannot be equal to 0.

$$h=15ks\text{, }h\neq 0$$

Solve for k

$$\left\{\begin{matrix}k=\frac{h}{15s}\text{, }&h\neq 0\text{ and }s\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$15skm=hm$$

Reorder the terms.

$$15kms=hm$$

The equation is in standard form.

$$15msk=hm$$

Divide both sides by 15ms.

$$\frac{15msk}{15ms}=\frac{hm}{15ms}$$

Dividing by 15ms undoes the multiplication by 15ms.

$$k=\frac{hm}{15ms}$$

Divide hm by 15ms.

$$k=\frac{h}{15s}$$