Solve x+3=1/3y

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

Solve for y

$$y=3\left(x+3\right)$$

Steps for Solving Linear Equation

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

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

Multiply both sides by 3.

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

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

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

Divide x+3 by \frac{1}{3} by multiplying x+3 by the reciprocal of \frac{1}{3}.

$$y=3x+9$$

Solve for x

$$x=\frac{y-9}{3}$$

Solution Steps

Subtract 3 from both sides.

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