Solve i=9varepsilon1varepsilon/-1020L

$$i = 9 \varepsilon 1 \varepsilon / - 1020 L$$

Solve for L

$$L=\frac{-340i}{3\epsilon \epsilon _{1}}$$

$$\epsilon \neq 0\text{ and }\epsilon _{1}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -1020.

$$-1020i=9\epsilon _{1}\epsilon L$$

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

$$9\epsilon _{1}\epsilon L=-1020i$$

The equation is in standard form.

$$9\epsilon \epsilon _{1}L=-1020i$$

Divide both sides by 9\epsilon _{1}\epsilon .

$$\frac{9\epsilon \epsilon _{1}L}{9\epsilon \epsilon _{1}}=\frac{-1020i}{9\epsilon \epsilon _{1}}$$

Dividing by 9\epsilon _{1}\epsilon undoes the multiplication by 9\epsilon _{1}\epsilon .

$$L=\frac{-1020i}{9\epsilon \epsilon _{1}}$$

Divide -1020i by 9\epsilon _{1}\epsilon .

$$L=\frac{-340i}{3\epsilon \epsilon _{1}}$$

Solve for ε

$$\epsilon =\frac{-340i}{3L\epsilon _{1}}$$

$$L\neq 0\text{ and }\epsilon _{1}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -1020.

$$-1020i=9\epsilon _{1}\epsilon L$$

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

$$9\epsilon _{1}\epsilon L=-1020i$$

The equation is in standard form.

$$9L\epsilon _{1}\epsilon =-1020i$$

Divide both sides by 9\epsilon _{1}L.

$$\frac{9L\epsilon _{1}\epsilon }{9L\epsilon _{1}}=\frac{-1020i}{9L\epsilon _{1}}$$

Dividing by 9\epsilon _{1}L undoes the multiplication by 9\epsilon _{1}L.

$$\epsilon =\frac{-1020i}{9L\epsilon _{1}}$$

Divide -1020i by 9\epsilon _{1}L.

$$\epsilon =\frac{-340i}{3L\epsilon _{1}}$$