Question

In which of the following solutions would you multiply both sides of the equation by n? Solve m + n = p for m. Solve m - n = p for m. Solve =m/n p for m. Solve mn = p for m.

Answer 1

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Answer 2

Answer:

To solve  $\frac{m}{n} = p$ for m, we should multiply both sides with n.

Step-by-step explanation:

1. Given $m + n = p$  

  To solve it for m, substract n from both sides

  Therefore, $m+n-n = p-n$

  $\implies m = p-n$

2. Given $m - n = p$

   To solve it for m, add n on both sides

   Therefore, $m - n+n = p+n$

   $\implies m = p+n$

3. Given $\frac{m}{n} = p$

   To solve it for m, need to eliminate n from left hand side.

   Therefore, multiplying both sides with n,

   $\frac{m}{n} \times n= p\times n$

   $\implies m = p\times n$

4. Given $mn = p$

   To solve it for m, need to eliminate n from left hand side.

   Therefore, dividing both sides with n,

   $\frac{mn}{n} = \frac{p}{n}$

   $\implies m =\frac{p}{n}$

Therefore, to solve the third equation, i.e., $\frac{m}{n} = p$, we should multiply both sides with n.