Question

Solve the equation for the variable k: 30/k + 1 = 4.

Answer 1

To solve the equation \( \frac{30}{k} + 1 = 4 \), we first isolate the term involving \( k \).

1. Start by subtracting 1 from both sides of the equation:

\[
\frac{30}{k} + 1 - 1 = 4 - 1
\]

This simplifies to:

\[
\frac{30}{k} = 3
\]

2. Next, to eliminate the fraction, multiply both sides by \( k \) (assuming \( k \neq 0 \)):

\[
30 = 3k
\]

3. Now, divide both sides by 3 to solve for \( k \):

\[
k = \frac{30}{3} = 10
\]

So, the solution for \( k \) is:

\[
\boxed{10}
\]