Solve y=(2)1/3x

$$y = ( 2 ) \frac { 1 } { 3 } x$$

Solve for x

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

Steps for Solving Linear Equation

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

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

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

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

Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

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

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

Divide y by \frac{2}{3} by multiplying y by the reciprocal of \frac{2}{3}.

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

Solve for y

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

Solution Steps

Multiply 2 and \frac{1}{3} to get \frac{2}{3}.

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