Question

Solve the equation. Check your answer.
StartFraction k minus 9 Over 3 EndFraction equals 12
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Part 1
kequals
  
enter your response here ​(Type an integer or a​ decimal.)

Answer 1

To solve the equation

\[
\frac{k - 9}{3} = 12,
\]

we can start by eliminating the fraction. We can do this by multiplying both sides of the equation by 3:

\[
k - 9 = 12 \times 3.
\]

Calculating the right side gives us:

\[
k - 9 = 36.
\]

Next, we add 9 to both sides to isolate \(k\):

\[
k = 36 + 9.
\]

Calculating this gives:

\[
k = 45.
\]

Now, let's check our solution by substituting \(k = 45\) back into the original equation:

\[
\frac{45 - 9}{3} = \frac{36}{3} = 12.
\]

Since both sides of the equation are equal, our solution is confirmed.

The final answer is:

\[
k = 45.
\]