Solve varepsilonI=pi/varepsilon+x/z

$$\varepsilon I = \frac { \pi } { \varepsilon } + \frac { x } { z }$$

Solve for I

$$I=\frac{x}{z\epsilon }+\frac{\pi }{\epsilon ^{2}}$$

$$\epsilon \neq 0\text{ and }z\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z\epsilon , the least common multiple of \epsilon ,z.

$$\epsilon Iz\epsilon =z\pi +\epsilon x$$

Multiply \epsilon and \epsilon to get \epsilon ^{2}.

$$\epsilon ^{2}Iz=z\pi +\epsilon x$$

The equation is in standard form.

$$z\epsilon ^{2}I=x\epsilon +\pi z$$

Divide both sides by \epsilon ^{2}z.

$$\frac{z\epsilon ^{2}I}{z\epsilon ^{2}}=\frac{x\epsilon +\pi z}{z\epsilon ^{2}}$$

Dividing by \epsilon ^{2}z undoes the multiplication by \epsilon ^{2}z.

$$I=\frac{x\epsilon +\pi z}{z\epsilon ^{2}}$$

Solve for x

$$x=\frac{z\left(I\epsilon ^{2}-\pi \right)}{\epsilon }$$

$$\epsilon \neq 0\text{ and }z\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by z\epsilon , the least common multiple of \epsilon ,z.

$$\epsilon Iz\epsilon =z\pi +\epsilon x$$

Multiply \epsilon and \epsilon to get \epsilon ^{2}.

$$\epsilon ^{2}Iz=z\pi +\epsilon x$$

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

$$z\pi +\epsilon x=\epsilon ^{2}Iz$$

Subtract z\pi from both sides.

$$\epsilon x=\epsilon ^{2}Iz-z\pi$$

Reorder the terms.

$$x\epsilon =Iz\epsilon ^{2}-\pi z$$

The equation is in standard form.

$$\epsilon x=Iz\epsilon ^{2}-\pi z$$

Divide both sides by \epsilon .

$$\frac{\epsilon x}{\epsilon }=\frac{z\left(I\epsilon ^{2}-\pi \right)}{\epsilon }$$

Dividing by \epsilon undoes the multiplication by \epsilon .

$$x=\frac{z\left(I\epsilon ^{2}-\pi \right)}{\epsilon }$$

Divide z\left(I\epsilon ^{2}-\pi \right) by \epsilon .

$$x=Iz\epsilon -\frac{\pi z}{\epsilon }$$