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
13
13
36
36
6
6
Skip to navigation
To find out which guess is the correct number, we need to substitute each guess into the equation 3x - 10 = 26 and see which one satisfies the equation.
Substituting 6 into the equation:
3(6) - 10 = 26
18 - 10 = 26
8 = 26
This equation is not true, so 6 is not the correct answer.
Substituting 12 into the equation:
3(12) - 10 = 26
36 - 10 = 26
26 = 26
This equation is true, so 12 is the correct answer.
Substituting 13 into the equation:
3(13) - 10 = 26
39 - 10 = 26
29 = 26
This equation is not true, so 13 is not the correct answer.
Substituting 36 into the equation:
3(36) - 10 = 26
108 - 10 = 26
98 = 26
This equation is not true, so 36 is not the correct answer.
Therefore, the correct number is 12.