Solve {l}{x+y=310}{7x=58.9}

$$\left. \begin{array} { l } { x + y = 310 } \\ { 7 x = 58.9 } \end{array} \right.$$

Solve for x, y

$$x = \frac{589}{70} = 8\frac{29}{70} \approx 8.414285714$$

$$y = \frac{21111}{70} = 301\frac{41}{70} \approx 301.585714286$$

Solution Steps

Consider the second equation. Divide both sides by 7.

$$x=\frac{58.9}{7}$$

Expand \frac{58.9}{7} by multiplying both numerator and the denominator by 10.

$$x=\frac{589}{70}$$

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

$$\frac{589}{70}+y=310$$

Subtract \frac{589}{70} from both sides.

$$y=310-\frac{589}{70}$$

Subtract \frac{589}{70} from 310 to get \frac{21111}{70}.

$$y=\frac{21111}{70}$$

The system is now solved.

$$x=\frac{589}{70} y=\frac{21111}{70}$$