Question

Using substitution, which number from the set {6, 13, 18, 26} makes the equation 2x+5=31 true?(1 point)
Responses

6

1 answer

To solve the equation 2x + 5 = 31 using substitution, we need to substitute each number from the given set {6, 13, 18, 26} into the equation and check if it makes the equation true.

Substituting 6 into the equation:

2(6) + 5 = 31
12 + 5 = 31
17 = 31

Since 17 does not equal 31, the number 6 does not make the equation true.

Similarly, substituting 13, 18, and 26 into the equation:

2(13) + 5 = 31
26 + 5 = 31
31 = 31

This means that the number 13 makes the equation true.

Therefore, the correct answer is 13.