Solve y=2/6x+5/6

$$y = \frac { 2 } { 6 } x + \frac { 5 } { 6 }$$

Solve for x

$$x=3y-\frac{5}{2}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$y=\frac{1}{3}x+\frac{5}{6}$$

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

$$\frac{1}{3}x+\frac{5}{6}=y$$

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

$$\frac{1}{3}x=y-\frac{5}{6}$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{y-\frac{5}{6}}{\frac{1}{3}}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$x=\frac{y-\frac{5}{6}}{\frac{1}{3}}$$

Divide y-\frac{5}{6} by \frac{1}{3} by multiplying y-\frac{5}{6} by the reciprocal of \frac{1}{3}.

$$x=3y-\frac{5}{2}$$

Solve for y

$$y=\frac{x}{3}+\frac{5}{6}$$

Solution Steps

Reduce the fraction \frac{2}{6} to lowest terms by extracting and canceling out 2.

$$y=\frac{1}{3}x+\frac{5}{6}$$