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?

Answer 1

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.