Question

Rearrange the equation \(27 = 9m - 18n\) to isolate \(m\).

1. \(m = \frac{27 + 18n}{9}\)
2. \(m = \frac{27 - 18n}{9}\)
3. \(m = \frac{27}{9} - 2n\)
4. \(m = \frac{27}{9} + 2n\)

Answer 1

To isolate m in the equation 27 = 9m - 18n, add 18n to both sides and then divide by 9, which results in m = (27 + 18n) / 9.

Step-by-step explanation:

To rearrange the equation 27 = 9m - 18n to isolate m, you want to perform operations that will leave m on one side of the equation by itself. First, you would add 18n to both sides of the equation to get 27 + 18n = 9m. Then you would divide both sides by 9 to solve for m, resulting in m = (27 + 18n) / 9. This corresponds to the first option:

m = (27 + 18n) / 9.