Solve x1+2x2+x3=0

$$x1+2x2+x3=0$$

Solve for x_1

$$x_{1}=-\left(2x_{2}+x_{3}\right)$$

Solution Steps

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

$$x_{1}+x_{3}=-2x_{2}$$

Subtract x_{3} from both sides.

$$x_{1}=-2x_{2}-x_{3}$$

Solve for x_2

$$x_{2}=\frac{-x_{1}-x_{3}}{2}$$

Steps for Solving Linear Equation

Subtract x_{1} from both sides. Anything subtracted from zero gives its negation.

$$2x_{2}+x_{3}=-x_{1}$$

Subtract x_{3} from both sides.

$$2x_{2}=-x_{1}-x_{3}$$

Divide both sides by 2.

$$\frac{2x_{2}}{2}=\frac{-x_{1}-x_{3}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x_{2}=\frac{-x_{1}-x_{3}}{2}$$