Solve y=2/3x-3

$$y = 2 / 3 x - 3$$

Solve for x

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

Steps for Solving Linear Equation

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

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

Add 3 to both sides.

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

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

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

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

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

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

$$x=\frac{3y+9}{2}$$

Solve for y

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