Solve z=-2/3*x+8/3

$$z = - 2 / 3 \cdot x + 8 / 3$$

Solve for x

$$x=-\frac{3z}{2}+4$$

Steps for Solving Linear Equation

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

$$-\frac{2}{3}x+\frac{8}{3}=z$$

Subtract \frac{8}{3} from both sides.

$$-\frac{2}{3}x=z-\frac{8}{3}$$

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

$$\frac{-\frac{2}{3}x}{-\frac{2}{3}}=\frac{z-\frac{8}{3}}{-\frac{2}{3}}$$

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

$$x=\frac{z-\frac{8}{3}}{-\frac{2}{3}}$$

Divide z-\frac{8}{3} by -\frac{2}{3} by multiplying z-\frac{8}{3} by the reciprocal of -\frac{2}{3}.

$$x=-\frac{3z}{2}+4$$

Solve for z

$$z=\frac{8-2x}{3}$$