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

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

Solve for x, y

$$x=\frac{2}{3}\approx 0.666666667$$

$$y = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Solution Steps

Consider the second equation. Combine x and 2x to get 3x.

$$3x=2$$

Divide both sides by 3.

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

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

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

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

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

Subtract \frac{2}{3} from 2 to get \frac{4}{3}.

$$y=\frac{4}{3}$$

The system is now solved.

$$x=\frac{2}{3} y=\frac{4}{3}$$