Solve x+2y+3z=0

$$x + 2 y + 3 z = 0$$

Solve for x

$$x=-2y-3z$$

Solution Steps

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$x+3z=-2y$$

Subtract 3z from both sides.

$$x=-2y-3z$$

Solve for y

$$y=\frac{-x-3z}{2}$$

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$2y+3z=-x$$

Subtract 3z from both sides.

$$2y=-x-3z$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{-x-3z}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{-x-3z}{2}$$