Solve x-y+2z=0

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

Solve for x

$$x=y-2z$$

Solution Steps

Add y to both sides. Anything plus zero gives itself.

$$x+2z=y$$

Subtract 2z from both sides.

$$x=y-2z$$

Solve for y

$$y=x+2z$$

Steps for Solving Linear Equation

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

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

Subtract 2z from both sides.

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

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{-x-2z}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{-x-2z}{-1}$$

Divide -x-2z by -1.

$$y=x+2z$$