Solve y=2/3x-1

$$y = \frac { 2 } { 3 } x - 1$$

Solve for x

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

Steps for Solving Linear Equation

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

$$\frac{2}{3}x-1=y$$

Add 1 to both sides.

$$\frac{2}{3}x=y+1$$

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

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{y+1}{\frac{2}{3}}$$

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

$$x=\frac{y+1}{\frac{2}{3}}$$

Divide y+1 by \frac{2}{3} by multiplying y+1 by the reciprocal of \frac{2}{3}.

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

Solve for y

$$y=\frac{2x}{3}-1$$