Question

In which of the following solutions would you multiply both sides of the equation by n?

Solve m - n = p for m.
Solve mn = p for m.
Solve = p for m.
Solve m + n = p for m.

Answer 1

To determine in which of the given equations you would multiply both sides by \( n \) to solve for \( m \), let’s analyze each option individually.

1. **Solve \( m - n = p \) for \( m \)**:
- To isolate \( m \), you would add \( n \) to both sides:
\[
m = p + n
\]
- No multiplication by \( n \) is needed.

2. **Solve \( mn = p \) for \( m \)**:
- To isolate \( m \), you would divide both sides by \( n \) (as long as \( n \neq 0 \)):
\[
m = \frac{p}{n}
\]
- Here, you would not multiply both sides by \( n \); instead, you divide by \( n \).

3. **Solve \( = p \) for \( m \)**:
- It appears there is some text missing in this equation. Without knowing what \( m \) equals, it’s impossible to determine the method. There's no multiplication by \( n \) as presented.

4. **Solve \( m + n = p \) for \( m \)**:
- To isolate \( m \), you would subtract \( n \) from both sides:
\[
m = p - n
\]
- No multiplication by \( n \) occurs here either.

**Conclusion**: In none of the options provided do we multiply both sides by \( n \) to solve for \( m \). You would divide by \( n \) in the second option instead.