Solve (y+3)=-2/5x-8

$$( y + 3 ) = - \frac { 2 } { 5 } x - 8$$

Solve for x

$$x=\frac{-5y-55}{2}$$

Steps for Solving Linear Equation

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

$$-\frac{2}{5}x-8=y+3$$

Add 8 to both sides.

$$-\frac{2}{5}x=y+3+8$$

Add 3 and 8 to get 11.

$$-\frac{2}{5}x=y+11$$

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

$$\frac{-\frac{2}{5}x}{-\frac{2}{5}}=\frac{y+11}{-\frac{2}{5}}$$

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

$$x=\frac{y+11}{-\frac{2}{5}}$$

Divide y+11 by -\frac{2}{5} by multiplying y+11 by the reciprocal of -\frac{2}{5}.

$$x=\frac{-5y-55}{2}$$

Solve for y

$$y=-\frac{2x}{5}-11$$

Solution Steps

Subtract 3 from both sides.

$$y=-\frac{2}{5}x-8-3$$

Subtract 3 from -8 to get -11.

$$y=-\frac{2}{5}x-11$$