solve using inverse operations 1/3x=-9

3 answers

To solve the equation \( \frac{1}{3}x = -9 \) using inverse operations, follow these steps:

  1. Multiply both sides by 3 (the reciprocal of \( \frac{1}{3} \)) to isolate \( x \):

    \[ 3 \cdot \left(\frac{1}{3}x\right) = 3 \cdot (-9) \]

  2. This simplifies to:

    \[ x = -27 \]

Thus, the solution to the equation \( \frac{1}{3}x = -9 \) is \( x = -27 \).

solve using inverse operations n/4=12

To solve the equation \( \frac{n}{4} = 12 \) using inverse operations, follow these steps:

  1. Multiply both sides by 4 (the reciprocal of \( \frac{1}{4} \)) to isolate \( n \):

    \[ 4 \cdot \left(\frac{n}{4}\right) = 4 \cdot 12 \]

  2. This simplifies to:

    \[ n = 48 \]

Thus, the solution to the equation \( \frac{n}{4} = 12 \) is \( n = 48 \).