Solve y+2=-1/9(x-5)

$$y + 2 = - \frac { 1 } { 9 } ( x - 5 )$$

Solve for x

$$x=-9y-13$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{9} by x-5.

$$y+2=-\frac{1}{9}x+\frac{5}{9}$$

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

$$-\frac{1}{9}x+\frac{5}{9}=y+2$$

Subtract \frac{5}{9} from both sides.

$$-\frac{1}{9}x=y+2-\frac{5}{9}$$

Subtract \frac{5}{9} from 2 to get \frac{13}{9}.

$$-\frac{1}{9}x=y+\frac{13}{9}$$

Multiply both sides by -9.

$$\frac{-\frac{1}{9}x}{-\frac{1}{9}}=\frac{y+\frac{13}{9}}{-\frac{1}{9}}$$

Dividing by -\frac{1}{9} undoes the multiplication by -\frac{1}{9}.

$$x=\frac{y+\frac{13}{9}}{-\frac{1}{9}}$$

Divide y+\frac{13}{9} by -\frac{1}{9} by multiplying y+\frac{13}{9} by the reciprocal of -\frac{1}{9}.

$$x=-9y-13$$

Solve for y

$$y=\frac{-x-13}{9}$$

Solution Steps

Use the distributive property to multiply -\frac{1}{9} by x-5.

$$y+2=-\frac{1}{9}x+\frac{5}{9}$$

Subtract 2 from both sides.

$$y=-\frac{1}{9}x+\frac{5}{9}-2$$

Subtract 2 from \frac{5}{9} to get -\frac{13}{9}.

$$y=-\frac{1}{9}x-\frac{13}{9}$$