True Equations Quick Check

Question

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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)

Answer 1

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.