Solve y=1/4x+5/6

$$y = \frac { 1 } { 4 } x + \frac { 5 } { 6 }$$

Solve for x

$$x=4y-\frac{10}{3}$$

Steps for Solving Linear Equation

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

$$\frac{1}{4}x+\frac{5}{6}=y$$

Subtract \frac{5}{6} from both sides.

$$\frac{1}{4}x=y-\frac{5}{6}$$

Multiply both sides by 4.

$$\frac{\frac{1}{4}x}{\frac{1}{4}}=\frac{y-\frac{5}{6}}{\frac{1}{4}}$$

Dividing by \frac{1}{4} undoes the multiplication by \frac{1}{4}.

$$x=\frac{y-\frac{5}{6}}{\frac{1}{4}}$$

Divide y-\frac{5}{6} by \frac{1}{4} by multiplying y-\frac{5}{6} by the reciprocal of \frac{1}{4}.

$$x=4y-\frac{10}{3}$$

Solve for y

$$y=\frac{x}{4}+\frac{5}{6}$$