Solve y=-2/5x+74/5-6

$$y = - 2 / 5 x + 74 / 5 - 6$$

Solve for x

$$x=-\frac{5y}{2}+22$$

Steps for Solving Linear Equation

Subtract 6 from \frac{74}{5} to get \frac{44}{5}.

$$y=-\frac{2}{5}x+\frac{44}{5}$$

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

$$-\frac{2}{5}x+\frac{44}{5}=y$$

Subtract \frac{44}{5} from both sides.

$$-\frac{2}{5}x=y-\frac{44}{5}$$

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

$$\frac{-\frac{2}{5}x}{-\frac{2}{5}}=\frac{y-\frac{44}{5}}{-\frac{2}{5}}$$

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

$$x=\frac{y-\frac{44}{5}}{-\frac{2}{5}}$$

Divide y-\frac{44}{5} by -\frac{2}{5} by multiplying y-\frac{44}{5} by the reciprocal of -\frac{2}{5}.

$$x=-\frac{5y}{2}+22$$

Solve for y

$$y=\frac{44-2x}{5}$$

Solution Steps

Subtract 6 from \frac{74}{5} to get \frac{44}{5}.

$$y=-\frac{2}{5}x+\frac{44}{5}$$