True Equations Quick Check
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Question
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)
To find the correct guess, we need to substitute each guess into the equation and see which one makes the equation true.
1) Substituting 6 into the equation:
3(6) - 10 = 26
18 - 10 = 26
8 = 26
This equation is false, so 6 is not the correct guess.
2) Substituting 12 into the equation:
3(12) - 10 = 26
36 - 10 = 26
26 = 26
This equation is true, so 12 is the correct guess.
3) Substituting 13 into the equation:
3(13) - 10 = 26
39 - 10 = 26
29 = 26
This equation is false, so 13 is not the correct guess.
4) Substituting 36 into the equation:
3(36) - 10 = 26
108 - 10 = 26
98 = 26
This equation is false, so 36 is not the correct guess.
Therefore, the correct guess is 12.