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

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

Solve for x, y

$$x=3$$

$$y=2$$

Solution Steps

Consider the second equation. Subtract 2 from both sides.

$$y=4-2$$

Subtract 2 from 4 to get 2.

$$y=2$$

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

$$x+2=5$$

Subtract 2 from both sides.

$$x=5-2$$

Subtract 2 from 5 to get 3.

$$x=3$$

The system is now solved.

$$x=3 y=2$$