Solve 1/3sqrt{3}=x/sqrt{3}

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{x}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{1}{3}\sqrt{3}=\frac{x\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

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

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

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

Multiply both sides of the equation by 3.

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

Reorder the terms.

$$\sqrt{3}x=\sqrt{3}$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{\sqrt{3}}{\sqrt{3}}$$

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

$$x=\frac{\sqrt{3}}{\sqrt{3}}$$

Divide \sqrt{3} by \sqrt{3}.

$$x=1$$