Solve {l}{2x+3=4}{y+x=10}

$$\left. \begin{array} { l } { 2 x + 3 = 4 } \\ { y + x = 10 } \end{array} \right.$$

Solve for x, y

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

$$y = \frac{19}{2} = 9\frac{1}{2} = 9.5$$

Solution Steps

Consider the first equation. Subtract 3 from both sides.

$$2x=4-3$$

Subtract 3 from 4 to get 1.

$$2x=1$$

Divide both sides by 2.

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

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

$$y+\frac{1}{2}=10$$

Subtract \frac{1}{2} from both sides.

$$y=10-\frac{1}{2}$$

Subtract \frac{1}{2} from 10 to get \frac{19}{2}.

$$y=\frac{19}{2}$$

The system is now solved.

$$x=\frac{1}{2} y=\frac{19}{2}$$