Solve y=-2/5x-6/5

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

Solve for x

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

Steps for Solving Linear Equation

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

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

Add \frac{6}{5} to both sides.

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

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

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

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

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

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

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

Solve for y

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