Use substitution to determine which number(s) from the set {4, 5, 6} make the equation 7x−6=29 true.
To use substitution, we substitute each number from the set {4, 5, 6} into the equation 7x - 6 = 29 and check if it is true.
Substituting 4 into the equation:
7(4) - 6 = 29
28 - 6 = 29
22 = 29 (false)
Substituting 5 into the equation:
7(5) - 6 = 29
35 - 6 = 29
29 = 29 (true)
Substituting 6 into the equation:
7(6) - 6 = 29
42 - 6 = 29
36 = 29 (false)
Therefore, the number that makes the equation true is 5.