Solve frac{T_{e}}{T_{n}}=frac{a_{e}}{Q_{n}}

$$\frac { T _ { e } } { T _ { n } } = \frac { a _ { e } } { Q _ { n } }$$

Solve for Q_n

$$\left\{\begin{matrix}Q_{n}=\frac{T_{n}a_{e}}{T_{e}}\text{, }&a_{e}\neq 0\text{ and }T_{n}\neq 0\text{ and }T_{e}\neq 0\\Q_{n}\neq 0\text{, }&T_{e}=0\text{ and }a_{e}=0\text{ and }T_{n}\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable Q_{n} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Q_{n}T_{n}, the least common multiple of T_{n},Q_{n}.

$$Q_{n}T_{e}=T_{n}a_{e}$$

The equation is in standard form.

$$T_{e}Q_{n}=T_{n}a_{e}$$

Divide both sides by T_{e}.

$$\frac{T_{e}Q_{n}}{T_{e}}=\frac{T_{n}a_{e}}{T_{e}}$$

Dividing by T_{e} undoes the multiplication by T_{e}.

$$Q_{n}=\frac{T_{n}a_{e}}{T_{e}}$$

Variable Q_{n} cannot be equal to 0.

$$Q_{n}=\frac{T_{n}a_{e}}{T_{e}}\text{, }Q_{n}\neq 0$$

Solve for T_e

$$T_{e}=\frac{T_{n}a_{e}}{Q_{n}}$$

$$T_{n}\neq 0\text{ and }Q_{n}\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by Q_{n}T_{n}, the least common multiple of T_{n},Q_{n}.

$$Q_{n}T_{e}=T_{n}a_{e}$$

Divide both sides by Q_{n}.

$$\frac{Q_{n}T_{e}}{Q_{n}}=\frac{T_{n}a_{e}}{Q_{n}}$$

Dividing by Q_{n} undoes the multiplication by Q_{n}.

$$T_{e}=\frac{T_{n}a_{e}}{Q_{n}}$$