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

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

Solve for x

$$x=10\sqrt{3}\approx 17.320508076$$

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 x,3.

$$3\times 10=x\sqrt{3}$$

Multiply 3 and 10 to get 30.

$$30=x\sqrt{3}$$

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

$$x\sqrt{3}=30$$

The equation is in standard form.

$$\sqrt{3}x=30$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{30}{\sqrt{3}}$$

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

$$x=\frac{30}{\sqrt{3}}$$

Divide 30 by \sqrt{3}.

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