Solve {l}{x+y=20}{95x+45x=1650}

$$\left. \begin{array} { l } { x + y = 20 } \\ { 95 x + 45 x = 1650 } \end{array} \right.$$

Solve for x, y

$$x = \frac{165}{14} = 11\frac{11}{14} \approx 11.785714286$$

$$y = \frac{115}{14} = 8\frac{3}{14} \approx 8.214285714$$

Solution Steps

Consider the second equation. Combine 95x and 45x to get 140x.

$$140x=1650$$

Divide both sides by 140.

$$x=\frac{1650}{140}$$

Reduce the fraction \frac{1650}{140} to lowest terms by extracting and canceling out 10.

$$x=\frac{165}{14}$$

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

$$\frac{165}{14}+y=20$$

Subtract \frac{165}{14} from both sides.

$$y=20-\frac{165}{14}$$

Subtract \frac{165}{14} from 20 to get \frac{115}{14}.

$$y=\frac{115}{14}$$

The system is now solved.

$$x=\frac{165}{14} y=\frac{115}{14}$$