Solve cx/y_{n}=z

$$\frac { c x } { y _ { n } } = z$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{y_{n}z}{x}\text{, }&x\neq 0\text{ and }y_{n}\neq 0\\c\in \mathrm{C}\text{, }&z=0\text{ and }x=0\text{ and }y_{n}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y_{n}.

$$cx=zy_{n}$$

The equation is in standard form.

$$xc=y_{n}z$$

Divide both sides by x.

$$\frac{xc}{x}=\frac{y_{n}z}{x}$$

Dividing by x undoes the multiplication by x.

$$c=\frac{y_{n}z}{x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{y_{n}z}{c}\text{, }&c\neq 0\text{ and }y_{n}\neq 0\\x\in \mathrm{C}\text{, }&z=0\text{ and }c=0\text{ and }y_{n}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y_{n}.

$$cx=zy_{n}$$

The equation is in standard form.

$$cx=y_{n}z$$

Divide both sides by c.

$$\frac{cx}{c}=\frac{y_{n}z}{c}$$

Dividing by c undoes the multiplication by c.

$$x=\frac{y_{n}z}{c}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{y_{n}z}{x}\text{, }&x\neq 0\text{ and }y_{n}\neq 0\\c\in \mathrm{R}\text{, }&z=0\text{ and }x=0\text{ and }y_{n}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y_{n}.

$$cx=zy_{n}$$

The equation is in standard form.

$$xc=y_{n}z$$

Divide both sides by x.

$$\frac{xc}{x}=\frac{y_{n}z}{x}$$

Dividing by x undoes the multiplication by x.

$$c=\frac{y_{n}z}{x}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{y_{n}z}{c}\text{, }&c\neq 0\text{ and }y_{n}\neq 0\\x\in \mathrm{R}\text{, }&z=0\text{ and }c=0\text{ and }y_{n}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y_{n}.

$$cx=zy_{n}$$

The equation is in standard form.

$$cx=y_{n}z$$

Divide both sides by c.

$$\frac{cx}{c}=\frac{y_{n}z}{c}$$

Dividing by c undoes the multiplication by c.

$$x=\frac{y_{n}z}{c}$$