Solve {l}{x+y=5}{2x-9=4}

$$\left\{ \begin{array} { l } { x + y = 5 } \\ { 2 x - 9 = 4 } \end{array} \right.$$

Solve for x, y

$$x = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

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

Solution Steps

Consider the second equation. Add 9 to both sides.

$$2x=4+9$$

Add 4 and 9 to get 13.

$$2x=13$$

Divide both sides by 2.

$$x=\frac{13}{2}$$

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

$$\frac{13}{2}+y=5$$

Subtract \frac{13}{2} from both sides.

$$y=5-\frac{13}{2}$$

Subtract \frac{13}{2} from 5 to get -\frac{3}{2}.

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

The system is now solved.

$$x=\frac{13}{2} y=-\frac{3}{2}$$