Priscilla has a number riddle for her friends she wants to guess what number she’s thinking of she tells him 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 guest was the correct number
To find the correct number, we can substitute each guess into the equation 3x - 10 = 26 and see which one satisfies the equation.
1. For x = 6:
3(6) - 10 = 26
18 - 10 = 26
8 ≠ 26
2. For x = 12:
3(12) - 10 = 26
36 - 10 = 26
26 = 26 (correct)
3. For x = 13:
3(13) - 10 = 26
39 - 10 = 26
29 ≠ 26
4. For x = 36:
3(36) - 10 = 26
108 - 10 = 26
98 ≠ 26
Therefore, the correct number is 12.