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

Question

in the equation 3x−10=26
. Her friends guess {6, 12, 13, 36}
. Using substitution, which guess was the correct number?(1 point)
Responses

36
36

6
6

12
12

13

Answer 1

To solve the equation \(3x - 10 = 26\) for \(x\), we can follow these steps:

1. Add 10 to both sides of the equation:

   \[ 3x - 10 + 10 = 26 + 10 \]

   Simplifying gives:

   \[ 3x = 36 \]

2. Now, divide both sides by 3:

   \[ x = \frac{36}{3} \]

   Simplifying gives:

   \[ x = 12 \]

Now, we check the guesses: {6, 12, 13, 36}.

The correct number, based on the solution of the equation, is 12.