Solve -5x_{2}+2x_{3}=0

$$- 5 x _ { 2 } + 2 x _ { 3 } = 0$$

Solve for x_2

$$x_{2}=\frac{2x_{3}}{5}$$

Steps for Solving Linear Equation

Subtract 2x_{3} from both sides. Anything subtracted from zero gives its negation.

$$-5x_{2}=-2x_{3}$$

Divide both sides by -5.

$$\frac{-5x_{2}}{-5}=-\frac{2x_{3}}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$x_{2}=-\frac{2x_{3}}{-5}$$

Divide -2x_{3} by -5.

$$x_{2}=\frac{2x_{3}}{5}$$

Solve for x_3

$$x_{3}=\frac{5x_{2}}{2}$$

Steps for Solving Linear Equation

Add 5x_{2} to both sides. Anything plus zero gives itself.

$$2x_{3}=5x_{2}$$

Divide both sides by 2.

$$\frac{2x_{3}}{2}=\frac{5x_{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x_{3}=\frac{5x_{2}}{2}$$