Priscilla has a number riddle for her friends. She wants them to guess what number she is thinking of. She tells them that her number can be represented by the x in the equation 3x−10=26 . Her friends guess {6, 12, 13, 36} . Using substitution, which guess was the correct number?
To find the correct number, we need to substitute each guess into the equation and see which one makes the equation true.
Substituting each guess into the equation:
For guess 6: 3(6) - 10 = 18 - 10 = 8 ≠ 26
For guess 12: 3(12) - 10 = 36 - 10 = 26 (Correct)
For guess 13: 3(13) - 10 = 39 - 10 = 29 ≠ 26
For guess 36: 3(36) - 10 = 108 - 10 = 98 ≠ 26
Therefore, the correct number is 12.