Solve {l}{x+y=3}{2x+4=7}

$$\left\{ \begin{array} { l } { x + y = 3 } \\ { 2 x + 4 = 7 } \end{array} \right.$$

Solve for x, y

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

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

Solution Steps

Consider the second equation. Subtract 4 from both sides.

$$2x=7-4$$

Subtract 4 from 7 to get 3.

$$2x=3$$

Divide both sides by 2.

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

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

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

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

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

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

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

The system is now solved.

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