Solve frac{sqrt{3}}{3}=2,3/x

$$\frac { \sqrt { 3 } } { 3 } = \frac { 2,3 } { x }$$

Solve for x

$$x = \frac{23 \sqrt{3}}{10} \approx 3.983716857$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of 3;x.

$$x\sqrt{3}=3\times 2,3$$

Multiply 3 and 2,3 to get 6,9.

$$x\sqrt{3}=6,9$$

The equation is in standard form.

$$\sqrt{3}x=6,9$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{6,9}{\sqrt{3}}$$

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

$$x=\frac{6,9}{\sqrt{3}}$$

Divide 6,9 by \sqrt{3}.

$$x=\frac{23\sqrt{3}}{10}$$