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

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

Solve for x, y

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

$$y = \frac{7}{3} = 2\frac{1}{3} \approx 2.333333333$$

Solution Steps

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

$$3y=7$$

Divide both sides by 3.

$$y=\frac{7}{3}$$

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

$$x+\frac{7}{3}=3$$

Subtract \frac{7}{3} from both sides.

$$x=3-\frac{7}{3}$$

Subtract \frac{7}{3} from 3 to get \frac{2}{3}.

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

The system is now solved.

$$x=\frac{2}{3} y=\frac{7}{3}$$