Solve C=1+q/2

$$C = \frac { 1 + q } { 2 }$$

Solve for q

$$q=2C-1$$

Steps for Solving Linear Equation

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

$$C=\frac{1}{2}+\frac{1}{2}q$$

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

$$\frac{1}{2}+\frac{1}{2}q=C$$

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

$$\frac{1}{2}q=C-\frac{1}{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}q}{\frac{1}{2}}=\frac{C-\frac{1}{2}}{\frac{1}{2}}$$

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

$$q=\frac{C-\frac{1}{2}}{\frac{1}{2}}$$

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

$$q=2C-1$$

Solve for C

$$C=\frac{q+1}{2}$$

Solution Steps

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

$$C=\frac{1}{2}+\frac{1}{2}q$$