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

13
13

12
12

36
36

6

Answer 1

To find Priscilla's number, we need to solve the equation \(3x - 10 = 26\).

1. First, add 10 to both sides of the equation: \[ 3x - 10 + 10 = 26 + 10 \] \[ 3x = 36 \]

2. Next, divide both sides by 3: \[ x = \frac{36}{3} \] \[ x = 12 \]

Now we know that Priscilla's number is 12.

Let’s check the guesses:

• \(6\): \(3(6) - 10 = 18 - 10 = 8\) (not correct)
• \(12\): \(3(12) - 10 = 36 - 10 = 26\) (correct)
• \(13\): \(3(13) - 10 = 39 - 10 = 29\) (not correct)
• \(36\): \(3(36) - 10 = 108 - 10 = 98\) (not correct)

The correct guess is 12.