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?
To find out which guess was the correct number, we can substitute each guess into the equation and see which one satisfies the equation.
Let's start with 6:
3x - 10 = 26
3(6) - 10 = 18 - 10 = 8
6 does not satisfy the equation.
Now let's try 12:
3x - 10 = 26
3(12) - 10 = 36 - 10 = 26
12 satisfies the equation!
We don't need to check the other guesses because we already found the correct one. Therefore, the answer is 12.