Solve y=2/3x0-5

$$y = \frac { 2 } { 3 } x 0 - 5$$

Solve for x_0

$$x_{0}=\frac{3\left(y+5\right)}{2}$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x_{0}-5=y$$

Add 5 to both sides.

$$\frac{2}{3}x_{0}=y+5$$

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

$$\frac{\frac{2}{3}x_{0}}{\frac{2}{3}}=\frac{y+5}{\frac{2}{3}}$$

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

$$x_{0}=\frac{y+5}{\frac{2}{3}}$$

Divide y+5 by \frac{2}{3} by multiplying y+5 by the reciprocal of \frac{2}{3}.

$$x_{0}=\frac{3y+15}{2}$$

Solve for y

$$y=\frac{2x_{0}}{3}-5$$