Solve y=-2/3x

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

Solve for x

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

$$y\neq 0$$

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 3x.

$$y\times 3x=-2$$

Reorder the terms.

$$3xy=-2$$

The equation is in standard form.

$$3yx=-2$$

Divide both sides by 3y.

$$\frac{3yx}{3y}=-\frac{2}{3y}$$

Dividing by 3y undoes the multiplication by 3y.

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

Variable x cannot be equal to 0.

$$x=-\frac{2}{3y}\text{, }x\neq 0$$

Solve for y

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

$$x\neq 0$$