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?(1 point) Responses 12 12 6 6 13 13 36

Answer 1

To find the correct number, we need to substitute each guess into the equation and see which one satisfies the equation.

1. First, let's substitute 6 into the equation:
3(6) - 10 = 26
18 - 10 = 26
8 ≠ 26

2. Now, let's substitute 12 into the equation:
3(12) - 10 = 26
36 - 10 = 26
26 = 26

3. Let's substitute 13 into the equation:
3(13) - 10 = 26
39 - 10 = 26
29 ≠ 26

4. Finally, let's substitute 36 into the equation:
3(36) - 10 = 26
108 - 10 = 26
98 ≠ 26

From these substitutions, we can see that the only guess that satisfies the equation is 12. Therefore, the correct number is 12.