Question

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

Answer 1

We can substitute each number from the set {6, 7, 8} into the equation 54 ÷ x = 9 to find the number that makes the equation true.

1. If we substitute x = 6 into the equation, we get:
54 ÷ 6 = 9
9 = 9
This is true.

2. If we substitute x = 7 into the equation, we get:
54 ÷ 7 = 9
7.714 ≈ 9
This is not true.

3. If we substitute x = 8 into the equation, we get:
54 ÷ 8 = 9
6.75 ≠ 9
This is not true.

Therefore, the number that makes the equation true from the given set is x = 6.