Solve gamma=k-R/I

$$\gamma = \frac { k - R } { I }$$

Solve for I

$$\left\{\begin{matrix}I=\frac{k-R}{\gamma }\text{, }&k\neq R\text{ and }\gamma \neq 0\\I\neq 0\text{, }&\gamma =0\text{ and }k=R\end{matrix}\right.$$

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.

$$\gamma I=k-R$$

Divide both sides by \gamma .

$$\frac{\gamma I}{\gamma }=\frac{k-R}{\gamma }$$

Dividing by \gamma undoes the multiplication by \gamma .

$$I=\frac{k-R}{\gamma }$$

Variable I cannot be equal to 0.

$$I=\frac{k-R}{\gamma }\text{, }I\neq 0$$

Solve for R

$$R=k-I\gamma$$

$$I\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by I.

$$\gamma I=k-R$$

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

$$k-R=\gamma I$$

Subtract k from both sides.

$$-R=\gamma I-k$$

The equation is in standard form.

$$-R=I\gamma -k$$

Divide both sides by -1.

$$\frac{-R}{-1}=\frac{I\gamma -k}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$R=\frac{I\gamma -k}{-1}$$

Divide \gamma I-k by -1.

$$R=k-I\gamma$$