Solve 2m/n=9-3mtext{when}n=2

$$\frac { 2 m } { n } = 9 - 3 m \text { when } n = 2$$

Solve for m, n

$$m = \frac{9}{4} = 2\frac{1}{4} = 2.25$$

$$n=2$$

Solution Steps

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

$$\frac{2m}{2}=9-3m$$

Multiply both sides of the equation by 2.

$$2m=18-6m$$

Add 6m to both sides.

$$2m+6m=18$$

Combine 2m and 6m to get 8m.

$$8m=18$$

Divide both sides by 8.

$$m=\frac{18}{8}$$

Reduce the fraction \frac{18}{8} to lowest terms by extracting and canceling out 2.

$$m=\frac{9}{4}$$

The system is now solved.

$$m=\frac{9}{4} n=2$$