Solve x-y-3z-3=0

$$x - y - 3 z - 3 = 0$$

Solve for x

$$x=y+3z+3$$

Solution Steps

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

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

Add 3z to both sides.

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

Add 3 to both sides.

$$x=y+3z+3$$

Solve for y

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

Steps for Solving Linear Equation

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

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

Add 3z to both sides.

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

Add 3 to both sides.

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

The equation is in standard form.

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

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{3+3z-x}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{3+3z-x}{-1}$$

Divide -x+3z+3 by -1.

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