Solve y-y/3+60=x+y/3

$$y - \frac { y } { 3 } + 60 = x + \frac { y } { 3 }$$

Solve for x

$$x=\frac{y+180}{3}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3y-y+180=3x+y$$

Swap sides so that all variable terms are on the left hand side.

$$3x+y=3y-y+180$$

Subtract y from both sides.

$$3x=3y-y+180-y$$

Combine 3y and -y to get 2y.

$$3x=2y-y+180$$

Combine 2y and -y to get y.

$$3x=y+180$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{y+180}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{y+180}{3}$$

Divide y+180 by 3.

$$x=\frac{y}{3}+60$$

Solve for y

$$y=3\left(x-60\right)$$

Solution Steps

Multiply both sides of the equation by 3.

$$3y-y+180=3x+y$$

Subtract y from both sides.

$$3y-y+180-y=3x$$

Combine 3y and -y to get 2y.

$$2y-y+180=3x$$

Subtract 180 from both sides.

$$2y-y=3x-180$$

Combine 2y and -y to get y.

$$y=3x-180$$