Solve y=2/5x+2

$$y = \frac{ 2 }{ 5 } x+2$$

Solve for x

$$x=\frac{5\left(y-2\right)}{2}$$

Steps for Solving Linear Equation

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

$$\frac{2}{5}x+2=y$$

Subtract 2 from both sides.

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

Divide both sides of the equation by \frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{2}{5} undoes the multiplication by \frac{2}{5}.

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

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

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

Solve for y

$$y=\frac{2\left(x+5\right)}{5}$$