Solve tanpi/3=y/x

$$\tan \frac { \pi } { 3 } = \frac { y } { x }$$

Solve for x

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

$$y\neq 0$$

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.

$$x\tan(\frac{\pi }{3})=y$$

Get the value of \tan(\frac{\pi }{3}) from trigonometric values table.

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

The equation is in standard form.

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

Divide both sides by \sqrt{3}.

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

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

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

Divide y by \sqrt{3}.

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

Variable x cannot be equal to 0.

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

Solve for y

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

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$x\tan(\frac{\pi }{3})=y$$

Get the value of \tan(\frac{\pi }{3}) from trigonometric values table.

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

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

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