Solve q=frac{E_{R}}{T}

$$q = \frac { E _ { R } } { T }$$

Solve for E_R

$$E_{R}=Tq$$

$$T\neq 0$$

Solution Steps

Multiply both sides of the equation by T.

$$qT=E_{R}$$

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

$$E_{R}=qT$$

Solve for T

$$\left\{\begin{matrix}T=\frac{E_{R}}{q}\text{, }&E_{R}\neq 0\text{ and }q\neq 0\\T\neq 0\text{, }&q=0\text{ and }E_{R}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$qT=E_{R}$$

Divide both sides by q.

$$\frac{qT}{q}=\frac{E_{R}}{q}$$

Dividing by q undoes the multiplication by q.

$$T=\frac{E_{R}}{q}$$

Variable T cannot be equal to 0.

$$T=\frac{E_{R}}{q}\text{, }T\neq 0$$