Solve y+4=-2/5(x-1)

$$y + 4 = - \frac { 2 } { 5 } ( x - 1 )$$

Solve for x

$$x=-\frac{5y}{2}-9$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{2}{5} by x-1.

$$y+4=-\frac{2}{5}x+\frac{2}{5}$$

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

$$-\frac{2}{5}x+\frac{2}{5}=y+4$$

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

$$-\frac{2}{5}x=y+4-\frac{2}{5}$$

Subtract \frac{2}{5} from 4 to get \frac{18}{5}.

$$-\frac{2}{5}x=y+\frac{18}{5}$$

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

$$\frac{-\frac{2}{5}x}{-\frac{2}{5}}=\frac{y+\frac{18}{5}}{-\frac{2}{5}}$$

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

$$x=\frac{y+\frac{18}{5}}{-\frac{2}{5}}$$

Divide y+\frac{18}{5} by -\frac{2}{5} by multiplying y+\frac{18}{5} by the reciprocal of -\frac{2}{5}.

$$x=-\frac{5y}{2}-9$$

Solve for y

$$y=\frac{-2x-18}{5}$$

Solution Steps

Use the distributive property to multiply -\frac{2}{5} by x-1.

$$y+4=-\frac{2}{5}x+\frac{2}{5}$$

Subtract 4 from both sides.

$$y=-\frac{2}{5}x+\frac{2}{5}-4$$

Subtract 4 from \frac{2}{5} to get -\frac{18}{5}.

$$y=-\frac{2}{5}x-\frac{18}{5}$$