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 6 12 12 13 13 36
To find the correct number, we need to substitute each guess into the equation and see which one satisfies it. Let's go through each guess:
1) Substituting 6 into the equation: 4(6) + 2 = 26. This simplifies to 24 + 2 = 26, which is true.
2) Substituting 12 into the equation: 4(12) + 2 = 26. This simplifies to 48 + 2 = 26, which is false.
3) Substituting 13 into the equation: 4(13) + 2 = 26. This simplifies to 52 + 2 = 26, which is false.
4) Substituting 36 into the equation: 4(36) + 2 = 26. This simplifies to 144 + 2 = 26, which is false.
From the above calculations, we can conclude that the correct number is 6. Therefore, the answer is:
Correct number: 6