Solve R_{q}=Q_{3}-Q_{1}

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

Solve for Q_1

$$Q_{1}=Q_{3}-R_{q}$$

Steps for Solving Linear Equation

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

$$Q_{3}-Q_{1}=R_{q}$$

Subtract Q_{3} from both sides.

$$-Q_{1}=R_{q}-Q_{3}$$

Divide both sides by -1.

$$\frac{-Q_{1}}{-1}=\frac{R_{q}-Q_{3}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$Q_{1}=\frac{R_{q}-Q_{3}}{-1}$$

Divide R_{q}-Q_{3} by -1.

$$Q_{1}=Q_{3}-R_{q}$$

Solve for Q_3

$$Q_{3}=Q_{1}+R_{q}$$

Solution Steps

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

$$Q_{3}-Q_{1}=R_{q}$$

Add Q_{1} to both sides.

$$Q_{3}=R_{q}+Q_{1}$$