Solve {l}{x+y=20000}{0.06x-0.07=1030}

$$\left. \begin{array} { l } { x + y = 20000 } \\ { 0.06 x - 0.07 = 1030 } \end{array} \right.$$

Solve for x, y

$$x = \frac{103007}{6} = 17167\frac{5}{6} \approx 17167.833333333$$

$$y = \frac{16993}{6} = 2832\frac{1}{6} \approx 2832.166666667$$

Solution Steps

Consider the second equation. Add 0.07 to both sides.

$$0.06x=1030+0.07$$

Add 1030 and 0.07 to get 1030.07.

$$0.06x=1030.07$$

Divide both sides by 0.06.

$$x=\frac{1030.07}{0.06}$$

Expand \frac{1030.07}{0.06} by multiplying both numerator and the denominator by 100.

$$x=\frac{103007}{6}$$

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

$$\frac{103007}{6}+y=20000$$

Subtract \frac{103007}{6} from both sides.

$$y=20000-\frac{103007}{6}$$

Subtract \frac{103007}{6} from 20000 to get \frac{16993}{6}.

$$y=\frac{16993}{6}$$

The system is now solved.

$$x=\frac{103007}{6} y=\frac{16993}{6}$$