Equations Unit Test Use substitution to determine which number from the set {6, 7, 8} makes the equation 54/x = 9

1 answer

To solve the equation 54/x = 9 using substitution, we can substitute each number from the set {6, 7, 8} for x and see which number makes the equation true.

1. Substitute x = 6:
54/6 = 9
9 = 9
Since 6 satisfies the equation, x = 6 is a solution.

2. Substitute x = 7:
54/7 ≠ 9
7.71 ≠ 9
Since 7 does not satisfy the equation, x = 7 is not a solution.

3. Substitute x = 8:
54/8 ≠ 9
6.75 ≠ 9
Since 8 does not satisfy the equation, x = 8 is not a solution.

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