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

Answer 1

To solve the equation \( \frac{30}{k} + 1 = 4 \), follow these steps:

1. Subtract 1 from both sides of the equation: \[ \frac{30}{k} = 4 - 1 \] \[ \frac{30}{k} = 3 \]

2. Now, multiply both sides by \( k \) to eliminate the fraction: \[ 30 = 3k \]

3. Next, divide both sides by 3 to solve for \( k \): \[ k = \frac{30}{3} \] \[ k = 10 \]

Thus, the solution for \( k \) is: \[ \boxed{10} \]