Use substitution do you determine which number from the set {4,5,6} make the equation 7x - 6 =29

Answer 1

First, substitute each number from the set {4, 5, 6} into the equation 7x - 6 = 29 and solve for x:

1. Substitute x = 4:
7(4) - 6 = 29
28 - 6 = 29
22 ≠ 29
x = 4 is not a solution.

2. Substitute x = 5:
7(5) - 6 = 29
35 - 6 = 29
29 = 29
x = 5 is a solution.

3. Substitute x = 6:
7(6) - 6 = 29
42 - 6 = 29
36 ≠ 29
x = 6 is not a solution.

Therefore, the number from the set {4, 5, 6} that makes the equation 7x - 6 = 29 is x = 5.