Solve 1/2=y*frac{sqrt{3}}{x}

$$\frac{ 1 }{ 2 } =y \times \frac{ \sqrt{ 3 } }{ x }$$

Solve for x

$$x=2\sqrt{3}y$$

$$y\neq 0$$

Solution Steps

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.

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

Variable x cannot be equal to 0.

$$x=y\times 2\sqrt{3}\text{, }x\neq 0$$

Solve for y

$$y=\frac{\sqrt{3}x}{6}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2x, the least common multiple of 2,x.

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

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

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

The equation is in standard form.

$$2\sqrt{3}y=x$$

Divide both sides by 2\sqrt{3}.

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

Dividing by 2\sqrt{3} undoes the multiplication by 2\sqrt{3}.

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

Divide x by 2\sqrt{3}.

$$y=\frac{\sqrt{3}x}{6}$$