Solve {c}{x=5}{1/3x+2y=11}

$$\left\{ \begin{array} { c } { x = 5 } \\ { \frac { 1 } { 3 } x + 2 y = 11 } \end{array} \right.$$

Solve for x, y

$$x=5$$

$$y = \frac{14}{3} = 4\frac{2}{3} \approx 4.666666667$$

Solution Steps

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

$$\frac{1}{3}\times 5+2y=11$$

Multiply \frac{1}{3} and 5 to get \frac{5}{3}.

$$\frac{5}{3}+2y=11$$

Subtract \frac{5}{3} from both sides.

$$2y=11-\frac{5}{3}$$

Subtract \frac{5}{3} from 11 to get \frac{28}{3}.

$$2y=\frac{28}{3}$$

Divide both sides by 2.

$$y=\frac{\frac{28}{3}}{2}$$

Express \frac{\frac{28}{3}}{2} as a single fraction.

$$y=\frac{28}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$y=\frac{28}{6}$$

Reduce the fraction \frac{28}{6} to lowest terms by extracting and canceling out 2.

$$y=\frac{14}{3}$$

The system is now solved.

$$x=5 y=\frac{14}{3}$$