Solve v*B=kL

$$v \times B = k L$$

Solve for B

$$\left\{\begin{matrix}B=\frac{Lk}{v}\text{, }&v\neq 0\\B\in \mathrm{R}\text{, }&\left(k=0\text{ or }L=0\right)\text{ and }v=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$vB=Lk$$

Divide both sides by v.

$$\frac{vB}{v}=\frac{Lk}{v}$$

Dividing by v undoes the multiplication by v.

$$B=\frac{Lk}{v}$$

Solve for L

$$\left\{\begin{matrix}L=\frac{Bv}{k}\text{, }&k\neq 0\\L\in \mathrm{R}\text{, }&\left(v=0\text{ or }B=0\right)\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$kL=vB$$

The equation is in standard form.

$$kL=Bv$$

Divide both sides by k.

$$\frac{kL}{k}=\frac{Bv}{k}$$

Dividing by k undoes the multiplication by k.

$$L=\frac{Bv}{k}$$