Question

Use substitution to determine which number from the set {6, 7, 8} makes the equation 54 ÷ x = 9 true.

Answer 1

We substitute each number from the set {6, 7, 8} into the equation 54 ÷ x = 9 and see which one makes the equation true.

For x = 6:
54 ÷ 6 = 9
9 = 9 (True)

For x = 7:
54 ÷ 7 = 7.714
7.714 ≠ 9 (False)

For x = 8:
54 ÷ 8 = 6.75
6.75 ≠ 9 (False)

Therefore, the number from the set {6, 7, 8} that makes the equation 54 ÷ x = 9 true is x = 6.