Solve y=2/3x-2

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

Solve for x

$$x=\frac{3\left(y+2\right)}{2}$$

Steps for Solving Linear Equation

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

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

Add 2 to both sides.

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

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

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

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

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

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

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

Solve for y

$$y=\frac{2\left(x-3\right)}{3}$$