Solve x=p/b(y)

$$x = \frac { p } { b } ( y )$$

Solve for p (complex solution)

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

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$xb=py$$

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

$$py=xb$$

The equation is in standard form.

$$yp=bx$$

Divide both sides by y.

$$\frac{yp}{y}=\frac{bx}{y}$$

Dividing by y undoes the multiplication by y.

$$p=\frac{bx}{y}$$

Solve for b

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

Steps for Solving Linear Equation

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

$$xb=py$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{py}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{py}{x}$$

Variable b cannot be equal to 0.

$$b=\frac{py}{x}\text{, }b\neq 0$$

Solve for p

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

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$xb=py$$

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

$$py=xb$$

The equation is in standard form.

$$yp=bx$$

Divide both sides by y.

$$\frac{yp}{y}=\frac{bx}{y}$$

Dividing by y undoes the multiplication by y.

$$p=\frac{bx}{y}$$