Solve y=5/6x-12

$$y = \frac { 5 } { 6 } x - 12$$

Solve for x

$$x=\frac{6\left(y+12\right)}{5}$$

Steps for Solving Linear Equation

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

$$\frac{5}{6}x-12=y$$

Add 12 to both sides.

$$\frac{5}{6}x=y+12$$

Divide both sides of the equation by \frac{5}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{6}x}{\frac{5}{6}}=\frac{y+12}{\frac{5}{6}}$$

Dividing by \frac{5}{6} undoes the multiplication by \frac{5}{6}.

$$x=\frac{y+12}{\frac{5}{6}}$$

Divide y+12 by \frac{5}{6} by multiplying y+12 by the reciprocal of \frac{5}{6}.

$$x=\frac{6y+72}{5}$$

Solve for y

$$y=\frac{5x}{6}-12$$