Use substitution to determine which number(s) from the set {4, 5, 6}
make the equation 7x−6=29
true.
To determine which number from the set {4, 5, 6} makes the equation true, we substitute each number into the equation and check if the equation holds.
1. Substituting 4 into the equation:
7(4) - 6 = 28 - 6 = 22 (Not equal to 29)
2. Substituting 5 into the equation:
7(5) - 6 = 35 - 6 = 29 (Equals to 29)
3. Substituting 6 into the equation:
7(6) - 6 = 42 - 6 = 36 (Not equal to 29)
Therefore, the number from the set {4, 5, 6} that makes the equation 7x - 6 = 29 true is 5.