Solve 3/10sqrt{11}=frac{10sqrt{11}}{x}

$$\frac{ 3 }{ 10 \sqrt{ 11 } } = \frac{ 10 \sqrt{ 11 } }{ x }$$

Solve for x

$$x = \frac{1100}{3} = 366\frac{2}{3} \approx 366.666666667$$

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 x.

$$\frac{1}{110}x\times 11^{\frac{1}{2}}\times 3=10\sqrt{11}$$

Multiply \frac{1}{110} and 3 to get \frac{3}{110}.

$$\frac{3}{110}x\times 11^{\frac{1}{2}}=10\sqrt{11}$$

Reorder the terms.

$$\frac{3}{110}\sqrt{11}x=10\sqrt{11}$$

The equation is in standard form.

$$\frac{3\sqrt{11}}{110}x=10\sqrt{11}$$

Divide both sides by \frac{3}{110}\sqrt{11}.

$$\frac{110\times \frac{3\sqrt{11}}{110}x}{3\sqrt{11}}=\frac{110\times 10\sqrt{11}}{3\sqrt{11}}$$

Dividing by \frac{3}{110}\sqrt{11} undoes the multiplication by \frac{3}{110}\sqrt{11}.

$$x=\frac{110\times 10\sqrt{11}}{3\sqrt{11}}$$

Divide 10\sqrt{11} by \frac{3}{110}\sqrt{11}.

$$x=\frac{1100}{3}$$