Solve a=1/3(b-2)

$$a = \frac { 1 } { 3 } ( b - 2 )$$

Solve for b

$$b=3a+2$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by b-2.

$$a=\frac{1}{3}b-\frac{2}{3}$$

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

$$\frac{1}{3}b-\frac{2}{3}=a$$

Add \frac{2}{3} to both sides.

$$\frac{1}{3}b=a+\frac{2}{3}$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}b}{\frac{1}{3}}=\frac{a+\frac{2}{3}}{\frac{1}{3}}$$

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

$$b=\frac{a+\frac{2}{3}}{\frac{1}{3}}$$

Divide a+\frac{2}{3} by \frac{1}{3} by multiplying a+\frac{2}{3} by the reciprocal of \frac{1}{3}.

$$b=3a+2$$

Solve for a

$$a=\frac{b-2}{3}$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by b-2.

$$a=\frac{1}{3}b-\frac{2}{3}$$