Solve y=-1/12x+7/12

$$y = \frac { - 1 } { 12 } x + \frac { 7 } { 12 }$$

Solve for x

$$x=7-12y$$

Steps for Solving Linear Equation

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$y=-\frac{1}{12}x+\frac{7}{12}$$

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

$$-\frac{1}{12}x+\frac{7}{12}=y$$

Subtract \frac{7}{12} from both sides.

$$-\frac{1}{12}x=y-\frac{7}{12}$$

Multiply both sides by -12.

$$\frac{-\frac{1}{12}x}{-\frac{1}{12}}=\frac{y-\frac{7}{12}}{-\frac{1}{12}}$$

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

$$x=\frac{y-\frac{7}{12}}{-\frac{1}{12}}$$

Divide y-\frac{7}{12} by -\frac{1}{12} by multiplying y-\frac{7}{12} by the reciprocal of -\frac{1}{12}.

$$x=7-12y$$

Solve for y

$$y=\frac{7-x}{12}$$

Solution Steps

Fraction \frac{-1}{12} can be rewritten as -\frac{1}{12} by extracting the negative sign.

$$y=-\frac{1}{12}x+\frac{7}{12}$$