Solve x=5/6(y+2)

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

Solve for y

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

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{5}{6} by y+2.

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

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

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

Subtract \frac{5}{3} from both sides.

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

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

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

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

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

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

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

Solve for x

$$x=\frac{5\left(y+2\right)}{6}$$

Solution Steps

Use the distributive property to multiply \frac{5}{6} by y+2.

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