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

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

Solve for x

$$x = \frac{22 \sqrt{3}}{15} \approx 2.540341184$$

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 2x, the least common multiple of 2;x.

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

Multiply 2 and 2,2 to get 4,4.

$$x\sqrt{3}=4,4$$

The equation is in standard form.

$$\sqrt{3}x=4,4$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{4,4}{\sqrt{3}}$$

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

$$x=\frac{4,4}{\sqrt{3}}$$

Divide 4,4 by \sqrt{3}.

$$x=\frac{22\sqrt{3}}{15}$$