Solve 300Q2-200Q_{3}=0

$$300 Q 2 - 200 Q _ { 3 } = 0$$

Solve for Q_2

$$Q_{2}=\frac{2Q_{3}}{3}$$

Steps for Solving Linear Equation

Add 200Q_{3} to both sides. Anything plus zero gives itself.

$$300Q_{2}=200Q_{3}$$

Divide both sides by 300.

$$\frac{300Q_{2}}{300}=\frac{200Q_{3}}{300}$$

Dividing by 300 undoes the multiplication by 300.

$$Q_{2}=\frac{200Q_{3}}{300}$$

Divide 200Q_{3} by 300.

$$Q_{2}=\frac{2Q_{3}}{3}$$

Solve for Q_3

$$Q_{3}=\frac{3Q_{2}}{2}$$

Steps for Solving Linear Equation

Subtract 300Q_{2} from both sides. Anything subtracted from zero gives its negation.

$$-200Q_{3}=-300Q_{2}$$

Divide both sides by -200.

$$\frac{-200Q_{3}}{-200}=-\frac{300Q_{2}}{-200}$$

Dividing by -200 undoes the multiplication by -200.

$$Q_{3}=-\frac{300Q_{2}}{-200}$$

Divide -300Q_{2} by -200.

$$Q_{3}=\frac{3Q_{2}}{2}$$