Solve 6km/h/s=1m/s^2

$$6 \frac { \frac { k m } { h } } { s } = 1 \frac { m } { s ^ { 2 } }$$

Solve for h

$$\left\{\begin{matrix}h=6ks\text{, }&s\neq 0\text{ and }k\neq 0\\h\neq 0\text{, }&m=0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by s^{2}, the least common multiple of s,s^{2}.

$$6s\times \frac{km}{h}=1m$$

Express 6\times \frac{km}{h} as a single fraction.

$$\frac{6km}{h}s=1m$$

Express \frac{6km}{h}s as a single fraction.

$$\frac{6kms}{h}=1m$$

Variable h cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by h.

$$6kms=1mh$$

Reorder the terms.

$$6kms=hm$$

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

$$hm=6kms$$

The equation is in standard form.

$$mh=6kms$$

Divide both sides by m.

$$\frac{mh}{m}=\frac{6kms}{m}$$

Dividing by m undoes the multiplication by m.

$$h=\frac{6kms}{m}$$

Divide 6kms by m.

$$h=6ks$$

Variable h cannot be equal to 0.

$$h=6ks\text{, }h\neq 0$$

Solve for k

$$\left\{\begin{matrix}k=\frac{h}{6s}\text{, }&h\neq 0\text{ and }s\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by s^{2}, the least common multiple of s,s^{2}.

$$6s\times \frac{km}{h}=1m$$

Express 6\times \frac{km}{h} as a single fraction.

$$\frac{6km}{h}s=1m$$

Express \frac{6km}{h}s as a single fraction.

$$\frac{6kms}{h}=1m$$

Multiply both sides of the equation by h.

$$6kms=1mh$$

Reorder the terms.

$$6kms=hm$$

The equation is in standard form.

$$6msk=hm$$

Divide both sides by 6ms.

$$\frac{6msk}{6ms}=\frac{hm}{6ms}$$

Dividing by 6ms undoes the multiplication by 6ms.

$$k=\frac{hm}{6ms}$$

Divide hm by 6ms.

$$k=\frac{h}{6s}$$