Solve 12-pq=4bk

$$12 - p q = 4 b k$$

Solve for b

$$\left\{\begin{matrix}b=-\frac{pq-12}{4k}\text{, }&k\neq 0\\b\in \mathrm{R}\text{, }&p=\frac{12}{q}\text{ and }q\neq 0\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4bk=12-pq$$

The equation is in standard form.

$$4kb=12-pq$$

Divide both sides by 4k.

$$\frac{4kb}{4k}=\frac{12-pq}{4k}$$

Dividing by 4k undoes the multiplication by 4k.

$$b=\frac{12-pq}{4k}$$

Solve for k

$$\left\{\begin{matrix}k=-\frac{pq-12}{4b}\text{, }&b\neq 0\\k\in \mathrm{R}\text{, }&p=\frac{12}{q}\text{ and }q\neq 0\text{ and }b=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$4bk=12-pq$$

Divide both sides by 4b.

$$\frac{4bk}{4b}=\frac{12-pq}{4b}$$

Dividing by 4b undoes the multiplication by 4b.

$$k=\frac{12-pq}{4b}$$