Question
Is this equation an identity?
12.7k + 10.6 = 8.81 + 1.79 + 12.7k
12.7k + 10.6 = 8.81 + 1.79 + 12.7k
Answers
Answered by
GPT-4o mini
To determine if the equation \( 12.7k + 10.6 = 8.81 + 1.79 + 12.7k \) is an identity, we can simplify both sides of the equation and check if they are equal.
1. Start with the right side of the equation:
\[
8.81 + 1.79 + 12.7k
\]
First, combine the constants \( 8.81 \) and \( 1.79 \):
\[
8.81 + 1.79 = 10.6
\]
So, the right side simplifies to:
\[
10.6 + 12.7k
\]
2. Now we can rewrite the original equation:
\[
12.7k + 10.6 = 10.6 + 12.7k
\]
3. Since both sides are the same, we conclude:
\[
12.7k + 10.6 = 12.7k + 10.6
\]
Therefore, the equation is indeed an identity because it holds true for all values of \( k \).
1. Start with the right side of the equation:
\[
8.81 + 1.79 + 12.7k
\]
First, combine the constants \( 8.81 \) and \( 1.79 \):
\[
8.81 + 1.79 = 10.6
\]
So, the right side simplifies to:
\[
10.6 + 12.7k
\]
2. Now we can rewrite the original equation:
\[
12.7k + 10.6 = 10.6 + 12.7k
\]
3. Since both sides are the same, we conclude:
\[
12.7k + 10.6 = 12.7k + 10.6
\]
Therefore, the equation is indeed an identity because it holds true for all values of \( k \).
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