Solve y=2/5x+6

$$y = \frac { 2 } { 5 } x + 6$$

Solve for x

$$x=\frac{5\left(y-6\right)}{2}$$

Steps for Solving Linear Equation

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

$$\frac{2}{5}x+6=y$$

Subtract 6 from both sides.

$$\frac{2}{5}x=y-6$$

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

$$\frac{\frac{2}{5}x}{\frac{2}{5}}=\frac{y-6}{\frac{2}{5}}$$

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

$$x=\frac{y-6}{\frac{2}{5}}$$

Divide y-6 by \frac{2}{5} by multiplying y-6 by the reciprocal of \frac{2}{5}.

$$x=\frac{5y}{2}-15$$

Solve for y

$$y=\frac{2\left(x+15\right)}{5}$$