Solve {l}{m+n=1}{3n+2n=2}

$$\left. \begin{array} { l } { m + n = 1 } \\ { 3 n + 2 n = 2 } \end{array} \right.$$

Solve for m, n

$$m=\frac{3}{5}=0.6$$

$$n=\frac{2}{5}=0.4$$

Solution Steps

Consider the second equation. Combine 3n and 2n to get 5n.

$$5n=2$$

Divide both sides by 5.

$$n=\frac{2}{5}$$

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

$$m+\frac{2}{5}=1$$

Subtract \frac{2}{5} from both sides.

$$m=1-\frac{2}{5}$$

Subtract \frac{2}{5} from 1 to get \frac{3}{5}.

$$m=\frac{3}{5}$$

The system is now solved.

$$m=\frac{3}{5} n=\frac{2}{5}$$