Solve b=1/2(a+3)

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

Solve for a

$$a=2b-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by a+3.

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

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

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

Subtract \frac{3}{2} from both sides.

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

Multiply both sides by 2.

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

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

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

Divide b-\frac{3}{2} by \frac{1}{2} by multiplying b-\frac{3}{2} by the reciprocal of \frac{1}{2}.

$$a=2b-3$$

Solve for b

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

Solution Steps

Use the distributive property to multiply \frac{1}{2} by a+3.

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