Question

Solve the equation. Check your answer.
StartFraction k minus 3 Over 2 EndFraction equals 11

Answer 1

To solve the equation

\[
\frac{k - 3}{2} = 11,
\]

we will first eliminate the fraction by multiplying both sides of the equation by 2:

\[
k - 3 = 22.
\]

Next, we will isolate \(k\) by adding 3 to both sides:

\[
k = 22 + 3,
\]
\[
k = 25.
\]

Now, let's check the solution by substituting \(k = 25\) back into the original equation:

\[
\frac{25 - 3}{2} = \frac{22}{2} = 11.
\]

Since both sides of the equation equal 11, our solution is confirmed correct. Thus, the solution is

\[
\boxed{25}.
\]