Solve xiy=bx

$$\xi y = b x$$

Solve for b (complex solution)

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

Steps for Solving Linear Equation

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

$$bx=\xi y$$

The equation is in standard form.

$$xb=y\xi$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{y\xi }{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{y\xi }{x}$$

Solve for x (complex solution)

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

Steps for Solving Linear Equation

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

$$bx=\xi y$$

The equation is in standard form.

$$bx=y\xi$$

Divide both sides by b.

$$\frac{bx}{b}=\frac{y\xi }{b}$$

Dividing by b undoes the multiplication by b.

$$x=\frac{y\xi }{b}$$

Solve for b

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

Steps for Solving Linear Equation

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

$$bx=\xi y$$

The equation is in standard form.

$$xb=y\xi$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{y\xi }{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{y\xi }{x}$$

Solve for x

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

Steps for Solving Linear Equation

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

$$bx=\xi y$$

The equation is in standard form.

$$bx=y\xi$$

Divide both sides by b.

$$\frac{bx}{b}=\frac{y\xi }{b}$$

Dividing by b undoes the multiplication by b.

$$x=\frac{y\xi }{b}$$