Solve x-2y+z=0

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

Solve for x

$$x=2y-z$$

Solution Steps

Add 2y to both sides. Anything plus zero gives itself.

$$x+z=2y$$

Subtract z from both sides.

$$x=2y-z$$

Solve for y

$$y=\frac{x+z}{2}$$

Steps for Solving Linear Equation

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

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

Subtract z from both sides.

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

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide -x-z by -2.

$$y=\frac{x+z}{2}$$