Solve y+2=-1/5x+2/5

$$y + 2 = - \frac { 1 } { 5 } x + \frac { 2 } { 5 }$$

Solve for x

$$x=-5y-8$$

Steps for Solving Linear Equation

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

$$-\frac{1}{5}x+\frac{2}{5}=y+2$$

Subtract \frac{2}{5} from both sides.

$$-\frac{1}{5}x=y+2-\frac{2}{5}$$

Subtract \frac{2}{5} from 2 to get \frac{8}{5}.

$$-\frac{1}{5}x=y+\frac{8}{5}$$

Multiply both sides by -5.

$$\frac{-\frac{1}{5}x}{-\frac{1}{5}}=\frac{y+\frac{8}{5}}{-\frac{1}{5}}$$

Dividing by -\frac{1}{5} undoes the multiplication by -\frac{1}{5}.

$$x=\frac{y+\frac{8}{5}}{-\frac{1}{5}}$$

Divide y+\frac{8}{5} by -\frac{1}{5} by multiplying y+\frac{8}{5} by the reciprocal of -\frac{1}{5}.

$$x=-5y-8$$

Solve for y

$$y=\frac{-x-8}{5}$$

Solution Steps

Subtract 2 from both sides.

$$y=-\frac{1}{5}x+\frac{2}{5}-2$$

Subtract 2 from \frac{2}{5} to get -\frac{8}{5}.

$$y=-\frac{1}{5}x-\frac{8}{5}$$