Solve {l}{x+y=3}{2x+3=8}

$$\left\{ \begin{array} { l } { x + y = 3 } \\ { 2 x + 3 = 8 } \end{array} \right.$$

Solve for x, y

$$x = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

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

Solution Steps

Consider the second equation. Subtract 3 from both sides.

$$2x=8-3$$

Subtract 3 from 8 to get 5.

$$2x=5$$

Divide both sides by 2.

$$x=\frac{5}{2}$$

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

$$\frac{5}{2}+y=3$$

Subtract \frac{5}{2} from both sides.

$$y=3-\frac{5}{2}$$

Subtract \frac{5}{2} from 3 to get \frac{1}{2}.

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

The system is now solved.

$$x=\frac{5}{2} y=\frac{1}{2}$$