Solve y=2+1/12(x-8)

$$y = 2 + \frac { 1 } { 12 } ( x - 8 )$$

Solve for x

$$x=12y-16$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{12} by x-8.

$$y=2+\frac{1}{12}x-\frac{2}{3}$$

Subtract \frac{2}{3} from 2 to get \frac{4}{3}.

$$y=\frac{4}{3}+\frac{1}{12}x$$

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

$$\frac{4}{3}+\frac{1}{12}x=y$$

Subtract \frac{4}{3} from both sides.

$$\frac{1}{12}x=y-\frac{4}{3}$$

Multiply both sides by 12.

$$\frac{\frac{1}{12}x}{\frac{1}{12}}=\frac{y-\frac{4}{3}}{\frac{1}{12}}$$

Dividing by \frac{1}{12} undoes the multiplication by \frac{1}{12}.

$$x=\frac{y-\frac{4}{3}}{\frac{1}{12}}$$

Divide y-\frac{4}{3} by \frac{1}{12} by multiplying y-\frac{4}{3} by the reciprocal of \frac{1}{12}.

$$x=12y-16$$

Solve for y

$$y=\frac{x+16}{12}$$

Solution Steps

Use the distributive property to multiply \frac{1}{12} by x-8.

$$y=2+\frac{1}{12}x-\frac{2}{3}$$

Subtract \frac{2}{3} from 2 to get \frac{4}{3}.

$$y=\frac{4}{3}+\frac{1}{12}x$$