Solve q=yp/3k

$$q = \frac { y p } { 3 k }$$

Solve for k

$$\left\{\begin{matrix}k=\frac{py}{3q}\text{, }&p\neq 0\text{ and }y\neq 0\text{ and }q\neq 0\\k\neq 0\text{, }&\left(y=0\text{ or }p=0\right)\text{ and }q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3k.

$$q\times 3k=yp$$

Reorder the terms.

$$3kq=py$$

The equation is in standard form.

$$3qk=py$$

Divide both sides by 3q.

$$\frac{3qk}{3q}=\frac{py}{3q}$$

Dividing by 3q undoes the multiplication by 3q.

$$k=\frac{py}{3q}$$

Variable k cannot be equal to 0.

$$k=\frac{py}{3q}\text{, }k\neq 0$$

Solve for p

$$\left\{\begin{matrix}p=\frac{3kq}{y}\text{, }&y\neq 0\text{ and }k\neq 0\\p\in \mathrm{R}\text{, }&q=0\text{ and }y=0\text{ and }k\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3k.

$$q\times 3k=yp$$

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

$$yp=q\times 3k$$

The equation is in standard form.

$$yp=3kq$$

Divide both sides by y.

$$\frac{yp}{y}=\frac{3kq}{y}$$

Dividing by y undoes the multiplication by y.

$$p=\frac{3kq}{y}$$