Using substitution, which number from the set { 6, 13, 18, 26} makes the equation 2x + 5 = 31 true?
To find out which number from the given set makes the equation true, we can substitute each number and check if the equation holds.
1. For x = 6:
2(6) + 5 = 31
12 + 5 = 31
17 ≠ 31
Therefore, 6 does not make the equation true.
2. For x = 13:
2(13) + 5 = 31
26 + 5 = 31
31 = 31
Therefore, 13 makes the equation true.
3. For x = 18:
2(18) + 5 = 31
36 + 5 = 31
41 ≠ 31
Therefore, 18 does not make the equation true.
4. For x = 26:
2(26) + 5 = 31
52 + 5 = 31
57 ≠ 31
Therefore, 26 does not make the equation true.
The number from the set {6, 13, 18, 26} that makes the equation 2x + 5 = 31 true is 13.