Solve 12x=y+13-1/6

$$12 x = y + 13 - \frac { 1 } { 6 }$$

Solve for x

$$x=\frac{y}{12}+\frac{77}{72}$$

Steps for Solving Linear Equation

Subtract \frac{1}{6} from 13 to get \frac{77}{6}.

$$12x=y+\frac{77}{6}$$

Divide both sides by 12.

$$\frac{12x}{12}=\frac{y+\frac{77}{6}}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$x=\frac{y+\frac{77}{6}}{12}$$

Divide y+\frac{77}{6} by 12.

$$x=\frac{y}{12}+\frac{77}{72}$$

Solve for y

$$y=12x-\frac{77}{6}$$

Solution Steps

Subtract \frac{1}{6} from 13 to get \frac{77}{6}.

$$12x=y+\frac{77}{6}$$

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

$$y+\frac{77}{6}=12x$$

Subtract \frac{77}{6} from both sides.

$$y=12x-\frac{77}{6}$$