Solve RQ=d_{3}-d_{1}

$$R Q = d _ { 3 } - d _ { 1 }$$

Solve for Q

$$\left\{\begin{matrix}Q=-\frac{d_{1}-d_{3}}{R}\text{, }&R\neq 0\\Q\in \mathrm{R}\text{, }&d_{3}=d_{1}\text{ and }R=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$RQ=d_{3}-d_{1}$$

Divide both sides by R.

$$\frac{RQ}{R}=\frac{d_{3}-d_{1}}{R}$$

Dividing by R undoes the multiplication by R.

$$Q=\frac{d_{3}-d_{1}}{R}$$

Solve for R

$$\left\{\begin{matrix}R=-\frac{d_{1}-d_{3}}{Q}\text{, }&Q\neq 0\\R\in \mathrm{R}\text{, }&d_{3}=d_{1}\text{ and }Q=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$QR=d_{3}-d_{1}$$

Divide both sides by Q.

$$\frac{QR}{Q}=\frac{d_{3}-d_{1}}{Q}$$

Dividing by Q undoes the multiplication by Q.

$$R=\frac{d_{3}-d_{1}}{Q}$$