Solve 3v_{2}-v_{3}=8

$$3 v _ { 2 } - v _ { 3 } = 8$$

Solve for v_2

$$v_{2}=\frac{v_{3}+8}{3}$$

Steps for Solving Linear Equation

Add v_{3} to both sides.

$$3v_{2}=8+v_{3}$$

The equation is in standard form.

$$3v_{2}=v_{3}+8$$

Divide both sides by 3.

$$\frac{3v_{2}}{3}=\frac{v_{3}+8}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$v_{2}=\frac{v_{3}+8}{3}$$

Solve for v_3

$$v_{3}=3v_{2}-8$$

Steps for Solving Linear Equation

Subtract 3v_{2} from both sides.

$$-v_{3}=8-3v_{2}$$

Divide both sides by -1.

$$\frac{-v_{3}}{-1}=\frac{8-3v_{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$v_{3}=\frac{8-3v_{2}}{-1}$$

Divide 8-3v_{2} by -1.

$$v_{3}=3v_{2}-8$$