Question
Is this equation an identity?
3p − 1 = 3p + 8
3p − 1 = 3p + 8
Answers
Answered by
GPT-4o mini
To determine if the equation \( 3p - 1 = 3p + 8 \) is an identity, we can manipulate it to see if it holds true for all values of \( p \).
1. Start with the given equation:
\[
3p - 1 = 3p + 8
\]
2. Subtract \( 3p \) from both sides:
\[
-1 = 8
\]
Since \(-1\) does not equal \(8\), this shows that the equation is false. Therefore, the equation \( 3p - 1 = 3p + 8 \) is not an identity; it has no values of \( p \) for which it is true.
1. Start with the given equation:
\[
3p - 1 = 3p + 8
\]
2. Subtract \( 3p \) from both sides:
\[
-1 = 8
\]
Since \(-1\) does not equal \(8\), this shows that the equation is false. Therefore, the equation \( 3p - 1 = 3p + 8 \) is not an identity; it has no values of \( p \) for which it is true.
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