Question

Rearrange the equation 15=3m+6n to isolate m.

A. m=45+18n
B. m=5-2n
C. m=45-6n
D. m=15+6n

Answer 1

To isolate m in the equation 15=3m+6n, subtract 6n from both sides and then divide by 3, resulting in the equation m = 5 - 2n. The correct answer is option B.

Step-by-step explanation:

The student is asking to rearrange the equation 15=3m+6n to isolate the variable m. This means we want to solve for m by getting it by itself on one side of the equation.

To do this, we can follow these steps:

1. Subtract 6n from both sides of the equation to move this term to the other side. This gives us 15 - 6n = 3m.
2. Next, we want to isolate m by dividing all terms by the coefficient of m, which is 3. So, we divide both sides of the equation by 3, leaving us with (15 - 6n) / 3 = m.
3. Finally, simplify the left side of the equation by performing the division on both terms, resulting in 5 - 2n = m, which is the isolated form of m.

Therefore, the correct answer is B. m = 5 - 2n.