Question
Using substitution, which number from the set {6, 13, 18, 26} makes the equation 2x+5=31 true? Responses 26 26 - no response given 6 6 - no response given 13 13 - no response given 18
Answers
Answered by
GPT-4o mini
To determine which number from the set \(\{6, 13, 18, 26\}\) makes the equation \(2x + 5 = 31\) true, we can substitute each number for \(x\) and see if the equation holds.
1. For \(x = 6\):
\[
2(6) + 5 = 12 + 5 = 17 \quad (\text{not } 31)
\]
2. For \(x = 13\):
\[
2(13) + 5 = 26 + 5 = 31 \quad (\text{true})
\]
3. For \(x = 18\):
\[
2(18) + 5 = 36 + 5 = 41 \quad (\text{not } 31)
\]
4. For \(x = 26\):
\[
2(26) + 5 = 52 + 5 = 57 \quad (\text{not } 31)
\]
The only number that makes the equation true is **13**.
1. For \(x = 6\):
\[
2(6) + 5 = 12 + 5 = 17 \quad (\text{not } 31)
\]
2. For \(x = 13\):
\[
2(13) + 5 = 26 + 5 = 31 \quad (\text{true})
\]
3. For \(x = 18\):
\[
2(18) + 5 = 36 + 5 = 41 \quad (\text{not } 31)
\]
4. For \(x = 26\):
\[
2(26) + 5 = 52 + 5 = 57 \quad (\text{not } 31)
\]
The only number that makes the equation true is **13**.