Use substitution to determine which number from the set {2,3,4} make the equation 36 divided by X=12 true?

1 answer

To determine which number from the set \({2, 3, 4}\) makes the equation \(36 \div X = 12\) true, we can substitute each number into the equation and see if it holds true.

  1. Substituting \(X = 2\): \[ 36 \div 2 = 18 \quad \text{(not true, since 18 does not equal 12)} \]

  2. Substituting \(X = 3\): \[ 36 \div 3 = 12 \quad \text{(true)} \]

  3. Substituting \(X = 4\): \[ 36 \div 4 = 9 \quad \text{(not true, since 9 does not equal 12)} \]

The only number from the set \({2, 3, 4}\) that makes the equation \(36 \div X = 12\) true is \( \boxed{3} \).