Solve y=-frac{sqrt{3}}{3}x-1

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

Solve for x

$$x=-\sqrt{3}\left(y+1\right)$$

Steps for Solving Linear Equation

Express \left(-\frac{\sqrt{3}}{3}\right)x as a single fraction.

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

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

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

Add 1 to both sides.

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

Multiply both sides of the equation by 3.

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

The equation is in standard form.

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

Divide both sides by -\sqrt{3}.

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

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

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

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

$$x=-\sqrt{3}\left(y+1\right)$$

Solve for y

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