Solve a=1/2(c+d)

$$a = \frac { 1 } { 2 } ( c + d )$$

Solve for c

$$c=2a-d$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by c+d.

$$a=\frac{1}{2}c+\frac{1}{2}d$$

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

$$\frac{1}{2}c+\frac{1}{2}d=a$$

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

$$\frac{1}{2}c=a-\frac{1}{2}d$$

The equation is in standard form.

$$\frac{1}{2}c=-\frac{d}{2}+a$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}c}{\frac{1}{2}}=\frac{-\frac{d}{2}+a}{\frac{1}{2}}$$

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

$$c=\frac{-\frac{d}{2}+a}{\frac{1}{2}}$$

Divide a-\frac{d}{2} by \frac{1}{2} by multiplying a-\frac{d}{2} by the reciprocal of \frac{1}{2}.

$$c=2a-d$$

Solve for a

$$a=\frac{c+d}{2}$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by c+d.

$$a=\frac{1}{2}c+\frac{1}{2}d$$