Solve {l}{1/2=x}{2-x+y=18}

$$\left\{ \begin{array} { l } { \frac { 1 } { 2 } = x } \\ { 2 - x + y = 18 } \end{array} \right.$$

Solve for x, y

$$x=\frac{1}{2}=0.5$$

$$y = \frac{33}{2} = 16\frac{1}{2} = 16.5$$

Solution Steps

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

$$x=\frac{1}{2}$$

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

$$2-\frac{1}{2}+y=18$$

Subtract \frac{1}{2} from 2 to get \frac{3}{2}.

$$\frac{3}{2}+y=18$$

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

$$y=18-\frac{3}{2}$$

Subtract \frac{3}{2} from 18 to get \frac{33}{2}.

$$y=\frac{33}{2}$$

The system is now solved.

$$x=\frac{1}{2} y=\frac{33}{2}$$