Solve {l}{1/2+a=1/2+1/2+b}{b=3}

$$\left\{ \begin{array} { l } { \frac { 1 } { 2 } + a = \frac { 1 } { 2 } + \frac { 1 } { 2 } + b } \\ { b = 3 } \end{array} \right.$$

Solve for a, b

$$a = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

$$b=3$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

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

Add \frac{1}{2} and \frac{1}{2} to get 1.

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

Add 1 and 3 to get 4.

$$\frac{1}{2}+a=4$$

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

$$a=4-\frac{1}{2}$$

Subtract \frac{1}{2} from 4 to get \frac{7}{2}.

$$a=\frac{7}{2}$$

The system is now solved.

$$a=\frac{7}{2} b=3$$