Solve A=b+h/2

$$A = \frac { b + h } { 2 }$$

Solve for b

$$b=2A-h$$

Steps for Solving Linear Equation

Divide each term of b+h by 2 to get \frac{1}{2}b+\frac{1}{2}h.

$$A=\frac{1}{2}b+\frac{1}{2}h$$

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

$$\frac{1}{2}b+\frac{1}{2}h=A$$

Subtract \frac{1}{2}h from both sides.

$$\frac{1}{2}b=A-\frac{1}{2}h$$

The equation is in standard form.

$$\frac{1}{2}b=-\frac{h}{2}+A$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}b}{\frac{1}{2}}=\frac{-\frac{h}{2}+A}{\frac{1}{2}}$$

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

$$b=\frac{-\frac{h}{2}+A}{\frac{1}{2}}$$

Divide A-\frac{h}{2} by \frac{1}{2} by multiplying A-\frac{h}{2} by the reciprocal of \frac{1}{2}.

$$b=2A-h$$

Solve for A

$$A=\frac{b+h}{2}$$

Solution Steps

Divide each term of b+h by 2 to get \frac{1}{2}b+\frac{1}{2}h.

$$A=\frac{1}{2}b+\frac{1}{2}h$$