Solve x+y=3y

$$x + y = 3 y$$

Solve for x

$$x=2y$$

Solution Steps

Subtract y from both sides.

$$x=3y-y$$

Combine 3y and -y to get 2y.

$$x=2y$$

Solve for y

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

Steps for Solving Linear Equation

Subtract 3y from both sides.

$$x+y-3y=0$$

Combine y and -3y to get -2y.

$$x-2y=0$$

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

$$-2y=-x$$

Divide both sides by -2.

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

Dividing by -2 undoes the multiplication by -2.

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

Divide -x by -2.

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