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

Responses

1/6
Start Fraction 1 over 6 End Fraction

6
6

10
10

1/10

1 answer

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

  1. Multiply both sides of the equation by \( k + 1 \) to eliminate the fraction:

    \[ 30 = 4(k + 1) \]

  2. Distribute the 4 on the right side:

    \[ 30 = 4k + 4 \]

  3. Subtract 4 from both sides to isolate the term with \( k \):

    \[ 30 - 4 = 4k \] \[ 26 = 4k \]

  4. Divide both sides by 4 to solve for \( k \):

    \[ k = \frac{26}{4} \] \[ k = \frac{13}{2} \]

Since none of the provided responses (\( \frac{1}{6}, 6, 10, \frac{1}{10} \)) match \( \frac{13}{2} \), it appears that there may be an error in the provided options or the equation itself.

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