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?
12
6
13
36
First, let's substitute each guess into the equation and see which one makes the equation true:
1. Substitute 6: 3(6) - 10 = 18 - 10 = 8. This is not equal to 26.
2. Substitute 12: 3(12) - 10 = 36 - 10 = 26. This is equal to 26.
3. Substitute 13: 3(13) - 10 = 39 - 10 = 29. This is not equal to 26.
4. Substitute 36: 3(36) - 10 = 108 - 10 = 98. This is not equal to 26.
Therefore, the correct number is 12.