Solve y+14=1/9(x+8)

$$y + 14 = \frac { 1 } { 9 } ( x + 8 )$$

Solve for x

$$x=9y+118$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{9} by x+8.

$$y+14=\frac{1}{9}x+\frac{8}{9}$$

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

$$\frac{1}{9}x+\frac{8}{9}=y+14$$

Subtract \frac{8}{9} from both sides.

$$\frac{1}{9}x=y+14-\frac{8}{9}$$

Subtract \frac{8}{9} from 14 to get \frac{118}{9}.

$$\frac{1}{9}x=y+\frac{118}{9}$$

Multiply both sides by 9.

$$\frac{\frac{1}{9}x}{\frac{1}{9}}=\frac{y+\frac{118}{9}}{\frac{1}{9}}$$

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

$$x=\frac{y+\frac{118}{9}}{\frac{1}{9}}$$

Divide y+\frac{118}{9} by \frac{1}{9} by multiplying y+\frac{118}{9} by the reciprocal of \frac{1}{9}.

$$x=9y+118$$

Solve for y

$$y=\frac{x-118}{9}$$

Solution Steps

Use the distributive property to multiply \frac{1}{9} by x+8.

$$y+14=\frac{1}{9}x+\frac{8}{9}$$

Subtract 14 from both sides.

$$y=\frac{1}{9}x+\frac{8}{9}-14$$

Subtract 14 from \frac{8}{9} to get -\frac{118}{9}.

$$y=\frac{1}{9}x-\frac{118}{9}$$