Solve y=-1/2x+2/3

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

Solve for x

$$x=\frac{4}{3}-2y$$

Steps for Solving Linear Equation

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

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

Subtract \frac{2}{3} from both sides.

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

Multiply both sides by -2.

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

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

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

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

$$x=\frac{4}{3}-2y$$

Solve for y

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