Solve z=h/He^1,4frac{y{y}}

$$z = \frac { h } { H } e ^ { 1,4 \frac { y } { y } }$$

Solve for H

$$\left\{\begin{matrix}\\H\neq 0\text{, }&\text{unconditionally}\\H=\frac{e^{1,4}h}{z}\text{, }&h\neq 0\text{ and }z\neq 0\text{ and }y\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$zH=he^{1,4\times \frac{y}{y}}$$

Cancel out y in both numerator and denominator.

$$zH=he^{1,4\times 1}$$

Multiply 1,4 and 1 to get 1,4.

$$zH=he^{1,4}$$

The equation is in standard form.

$$zH=e^{1,4}h$$

Divide both sides by z.

$$\frac{zH}{z}=\frac{e^{1,4}h}{z}$$

Dividing by z undoes the multiplication by z.

$$H=\frac{e^{1,4}h}{z}$$

Variable H cannot be equal to 0.

$$H=\frac{e^{1,4}h}{z}\text{, }H\neq 0$$

Solve for h

$$h=\frac{Hz}{e^{1,4}}$$

$$H\neq 0\text{ and }y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by H.

$$zH=he^{1,4\times \frac{y}{y}}$$

Cancel out y in both numerator and denominator.

$$zH=he^{1,4\times 1}$$

Multiply 1,4 and 1 to get 1,4.

$$zH=he^{1,4}$$

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

$$he^{1,4}=zH$$

The equation is in standard form.

$$e^{1,4}h=Hz$$

Divide both sides by e^{1,4}.

$$\frac{e^{1,4}h}{e^{1,4}}=\frac{Hz}{e^{1,4}}$$

Dividing by e^{1,4} undoes the multiplication by e^{1,4}.

$$h=\frac{Hz}{e^{1,4}}$$