Solve {l}{2x-4=-1}{x+y/2=1/2}

$$\left. \begin{array} { l } { 2 x - 4 = - 1 } \\ { \frac { x + y } { 2 } = \frac { 1 } { 2 } } \end{array} \right.$$

Solve for x, y

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

$$y=-\frac{1}{2}=-0.5$$

Solution Steps

Consider the first equation. Add 4 to both sides.

$$2x=-1+4$$

Add -1 and 4 to get 3.

$$2x=3$$

Divide both sides by 2.

$$x=\frac{3}{2}$$

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

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

Multiply both sides by 2.

$$\frac{3}{2}+y=\frac{1}{2}\times 2$$

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

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

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

$$y=1-\frac{3}{2}$$

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

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

The system is now solved.

$$x=\frac{3}{2} y=-\frac{1}{2}$$