Solve y=frac{sqrt{3}}{3}x+2

$$y = \frac { \sqrt { 3 } } { 3 } x + 2$$

Solve for x

$$x=-\sqrt{3}\left(2-y\right)$$

Steps for Solving Linear Equation

Express \frac{\sqrt{3}}{3}x as a single fraction.

$$y=\frac{\sqrt{3}x}{3}+2$$

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

$$\frac{\sqrt{3}x}{3}+2=y$$

Subtract 2 from both sides.

$$\frac{\sqrt{3}x}{3}=y-2$$

Multiply both sides of the equation by 3.

$$\sqrt{3}x=3y-6$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{3y-6}{\sqrt{3}}$$

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

$$x=\frac{3y-6}{\sqrt{3}}$$

Divide -6+3y by \sqrt{3}.

$$x=\sqrt{3}\left(y-2\right)$$

Solve for y

$$y=\frac{\sqrt{3}x+6}{3}$$