Solve y=2px-1/3p

$$y = 2 p x - \frac { 1 } { 3 } p$$

Solve for p (complex solution)

$$\left\{\begin{matrix}p=-\frac{3y}{1-6x}\text{, }&x\neq \frac{1}{6}\\p\in \mathrm{C}\text{, }&y=0\text{ and }x=\frac{1}{6}\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2px-\frac{1}{3}p=y$$

Combine all terms containing p.

$$\left(2x-\frac{1}{3}\right)p=y$$

Divide both sides by 2x-\frac{1}{3}.

$$\frac{\left(2x-\frac{1}{3}\right)p}{2x-\frac{1}{3}}=\frac{y}{2x-\frac{1}{3}}$$

Dividing by 2x-\frac{1}{3} undoes the multiplication by 2x-\frac{1}{3}.

$$p=\frac{y}{2x-\frac{1}{3}}$$

Divide y by 2x-\frac{1}{3}.

$$p=\frac{3y}{6x-1}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y}{2p}+\frac{1}{6}\text{, }&p\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2px-\frac{1}{3}p=y$$

Add \frac{1}{3}p to both sides.

$$2px=y+\frac{1}{3}p$$

The equation is in standard form.

$$2px=\frac{p}{3}+y$$

Divide both sides by 2p.

$$\frac{2px}{2p}=\frac{\frac{p}{3}+y}{2p}$$

Dividing by 2p undoes the multiplication by 2p.

$$x=\frac{\frac{p}{3}+y}{2p}$$

Divide y+\frac{p}{3} by 2p.

$$x=\frac{y}{2p}+\frac{1}{6}$$

Solve for p

$$\left\{\begin{matrix}p=-\frac{3y}{1-6x}\text{, }&x\neq \frac{1}{6}\\p\in \mathrm{R}\text{, }&y=0\text{ and }x=\frac{1}{6}\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2px-\frac{1}{3}p=y$$

Combine all terms containing p.

$$\left(2x-\frac{1}{3}\right)p=y$$

Divide both sides by 2x-\frac{1}{3}.

$$\frac{\left(2x-\frac{1}{3}\right)p}{2x-\frac{1}{3}}=\frac{y}{2x-\frac{1}{3}}$$

Dividing by 2x-\frac{1}{3} undoes the multiplication by 2x-\frac{1}{3}.

$$p=\frac{y}{2x-\frac{1}{3}}$$

Divide y by 2x-\frac{1}{3}.

$$p=\frac{3y}{6x-1}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y}{2p}+\frac{1}{6}\text{, }&p\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }p=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$2px-\frac{1}{3}p=y$$

Add \frac{1}{3}p to both sides.

$$2px=y+\frac{1}{3}p$$

The equation is in standard form.

$$2px=\frac{p}{3}+y$$

Divide both sides by 2p.

$$\frac{2px}{2p}=\frac{\frac{p}{3}+y}{2p}$$

Dividing by 2p undoes the multiplication by 2p.

$$x=\frac{\frac{p}{3}+y}{2p}$$

Divide y+\frac{p}{3} by 2p.

$$x=\frac{y}{2p}+\frac{1}{6}$$