Jaxon has a number riddle for his friends. He wants them to guess what number he is thinking of. He tells them that his number can be represented by the x in the equation
4x + 2 = 26
His friends guess {6, 12, 13, 36}. Using substitution, which guess was the correct number?
(1 point)
Responses
6
12
13
36
To solve the equation, we need to substitute each guess into the equation and see which one makes the equation true.
For the first guess, 6:
4(6) + 2 = 26
24 + 2 = 26
26 = 26
For the second guess, 12:
4(12) + 2 = 26
48 + 2 = 26
50 = 26
For the third guess, 13:
4(13) + 2 = 26
52 + 2 = 26
54 = 26
For the fourth guess, 36:
4(36) + 2 = 26
144 + 2 = 26
146 = 26
From the calculations, we can see that the only guess that makes the equation true is 6. Therefore, the correct number is 6.