Solve {c}{x+y=42}{0.5x+0.251=4.90}

$$\left. \begin{array} { c } { x + y = 42 } \\ { 0.5 x + 0.251 = 4.90 } \end{array} \right.$$

Solve for x, y

$$x=9.298$$

$$y=32.702$$

Solution Steps

Consider the second equation. Subtract 0.251 from both sides.

$$0.5x=4.9-0.251$$

Subtract 0.251 from 4.9 to get 4.649.

$$0.5x=4.649$$

Divide both sides by 0.5.

$$x=\frac{4.649}{0.5}$$

Expand \frac{4.649}{0.5} by multiplying both numerator and the denominator by 1000.

$$x=\frac{4649}{500}$$

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

$$\frac{4649}{500}+y=42$$

Subtract \frac{4649}{500} from both sides.

$$y=42-\frac{4649}{500}$$

Subtract \frac{4649}{500} from 42 to get \frac{16351}{500}.

$$y=\frac{16351}{500}$$

The system is now solved.

$$x=\frac{4649}{500} y=\frac{16351}{500}$$