Solve 130km/h=xm/s

$$130 k m / h = x m / s$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{hx}{130s}\text{, }&h\neq 0\text{ and }s\neq 0\\k\in \mathrm{C}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$s\times 130km=hxm$$

Reorder the terms.

$$130kms=hmx$$

The equation is in standard form.

$$130msk=hmx$$

Divide both sides by 130ms.

$$\frac{130msk}{130ms}=\frac{hmx}{130ms}$$

Dividing by 130ms undoes the multiplication by 130ms.

$$k=\frac{hmx}{130ms}$$

Divide hmx by 130ms.

$$k=\frac{hx}{130s}$$

Solve for h

$$\left\{\begin{matrix}h=\frac{130ks}{x}\text{, }&s\neq 0\text{ and }k\neq 0\text{ and }x\neq 0\\h\neq 0\text{, }&\left(m=0\text{ and }s\neq 0\right)\text{ or }\left(x=0\text{ and }k=0\text{ and }s\neq 0\right)\end{matrix}\right.$$

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 hs, the least common multiple of h,s.

$$s\times 130km=hxm$$

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

$$hxm=s\times 130km$$

The equation is in standard form.

$$mxh=130kms$$

Divide both sides by xm.

$$\frac{mxh}{mx}=\frac{130kms}{mx}$$

Dividing by xm undoes the multiplication by xm.

$$h=\frac{130kms}{mx}$$

Divide 130skm by xm.

$$h=\frac{130ks}{x}$$

Variable h cannot be equal to 0.

$$h=\frac{130ks}{x}\text{, }h\neq 0$$

Solve for k

$$\left\{\begin{matrix}k=\frac{hx}{130s}\text{, }&h\neq 0\text{ and }s\neq 0\\k\in \mathrm{R}\text{, }&m=0\text{ and }h\neq 0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$s\times 130km=hxm$$

Reorder the terms.

$$130kms=hmx$$

The equation is in standard form.

$$130msk=hmx$$

Divide both sides by 130ms.

$$\frac{130msk}{130ms}=\frac{hmx}{130ms}$$

Dividing by 130ms undoes the multiplication by 130ms.

$$k=\frac{hmx}{130ms}$$

Divide hmx by 130ms.

$$k=\frac{hx}{130s}$$