Solve x-sqrt{3}y-1=0

$$x - \sqrt { 3 } y - 1 = 0$$

Solve for x

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

Solution Steps

Add 1 to both sides. Anything plus zero gives itself.

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

Add \sqrt{3}y to both sides.

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

Solve for y

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

Steps for Solving Linear Equation

Add 1 to both sides. Anything plus zero gives itself.

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

Subtract x from both sides.

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

The equation is in standard form.

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

Divide both sides by -\sqrt{3}.

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

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

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

Divide 1-x by -\sqrt{3}.

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