Question

Question content area left
Part 1
Solve the following equation. Check your solution.
14m ​= 11
.
.
.
Question content area right
Part 1
m​ =
  
enter your response here
​(Type an integer or a​ fraction.)

Answer 1

To solve the equation \( 14m = 11 \), you need to isolate \( m \) by dividing both sides of the equation by 14:

\[
m = \frac{11}{14}
\]

So the solution is:

\[
m = \frac{11}{14}
\]

### Checking the solution

To check if this solution is correct, substitute \( m \) back into the original equation:

\[
14m = 11
\]

Substituting \( m = \frac{11}{14} \):

\[
14 \left( \frac{11}{14} \right) = 11
\]

This simplifies to:

\[
11 = 11
\]

Since both sides of the equation are equal, the solution \( m = \frac{11}{14} \) is indeed correct.