Solve sigma=frac{M_{F}c}{I}

$$\sigma = \frac { M _ { F } c } { I }$$

Solve for I

$$\left\{\begin{matrix}I=\frac{M_{F}c}{\sigma }\text{, }&c\neq 0\text{ and }M_{F}\neq 0\text{ and }\sigma \neq 0\\I\neq 0\text{, }&\left(c=0\text{ or }M_{F}=0\right)\text{ and }\sigma =0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$\sigma I=M_{F}c$$

Divide both sides by \sigma .

$$\frac{\sigma I}{\sigma }=\frac{M_{F}c}{\sigma }$$

Dividing by \sigma undoes the multiplication by \sigma .

$$I=\frac{M_{F}c}{\sigma }$$

Variable I cannot be equal to 0.

$$I=\frac{M_{F}c}{\sigma }\text{, }I\neq 0$$

Solve for M_F

$$\left\{\begin{matrix}M_{F}=\frac{I\sigma }{c}\text{, }&c\neq 0\text{ and }I\neq 0\\M_{F}\in \mathrm{R}\text{, }&\sigma =0\text{ and }c=0\text{ and }I\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by I.

$$\sigma I=M_{F}c$$

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

$$M_{F}c=\sigma I$$

The equation is in standard form.

$$cM_{F}=I\sigma$$

Divide both sides by c.

$$\frac{cM_{F}}{c}=\frac{I\sigma }{c}$$

Dividing by c undoes the multiplication by c.

$$M_{F}=\frac{I\sigma }{c}$$