Solve y=operatorname{ch}x

$$y = \operatorname { ch } x$$

Solve for c (complex solution)

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

Steps for Solving Linear Equation

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

$$chx=y$$

The equation is in standard form.

$$hxc=y$$

Divide both sides by hx.

$$\frac{hxc}{hx}=\frac{y}{hx}$$

Dividing by hx undoes the multiplication by hx.

$$c=\frac{y}{hx}$$

Solve for h (complex solution)

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

Steps for Solving Linear Equation

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

$$chx=y$$

The equation is in standard form.

$$cxh=y$$

Divide both sides by cx.

$$\frac{cxh}{cx}=\frac{y}{cx}$$

Dividing by cx undoes the multiplication by cx.

$$h=\frac{y}{cx}$$

Solve for c

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

Steps for Solving Linear Equation

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

$$chx=y$$

The equation is in standard form.

$$hxc=y$$

Divide both sides by hx.

$$\frac{hxc}{hx}=\frac{y}{hx}$$

Dividing by hx undoes the multiplication by hx.

$$c=\frac{y}{hx}$$

Solve for h

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

Steps for Solving Linear Equation

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

$$chx=y$$

The equation is in standard form.

$$cxh=y$$

Divide both sides by cx.

$$\frac{cxh}{cx}=\frac{y}{cx}$$

Dividing by cx undoes the multiplication by cx.

$$h=\frac{y}{cx}$$