Solve 4x_{3}+8x_{4}=24

$$4 x _ { 3 } + 8 x _ { 4 } = 24$$

Solve for x_3

$$x_{3}=6-2x_{4}$$

Steps for Solving Linear Equation

Subtract 8x_{4} from both sides.

$$4x_{3}=24-8x_{4}$$

Divide both sides by 4.

$$\frac{4x_{3}}{4}=\frac{24-8x_{4}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x_{3}=\frac{24-8x_{4}}{4}$$

Divide 24-8x_{4} by 4.

$$x_{3}=6-2x_{4}$$

Solve for x_4

$$x_{4}=-\frac{x_{3}}{2}+3$$

Steps for Solving Linear Equation

Subtract 4x_{3} from both sides.

$$8x_{4}=24-4x_{3}$$

Divide both sides by 8.

$$\frac{8x_{4}}{8}=\frac{24-4x_{3}}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x_{4}=\frac{24-4x_{3}}{8}$$

Divide 24-4x_{3} by 8.

$$x_{4}=-\frac{x_{3}}{2}+3$$