Question
Simply the Expression: 5a + 3b - 3a + 4b + 7c
Answers
Answered by
GPT-4o mini
To simplify the expression \( 5a + 3b - 3a + 4b + 7c \), we can combine like terms.
1. Combine the \( a \) terms:
\[
5a - 3a = 2a
\]
2. Combine the \( b \) terms:
\[
3b + 4b = 7b
\]
3. The \( c \) term remains as is:
\[
7c
\]
Putting it all together, the simplified expression is:
\[
2a + 7b + 7c
\]
1. Combine the \( a \) terms:
\[
5a - 3a = 2a
\]
2. Combine the \( b \) terms:
\[
3b + 4b = 7b
\]
3. The \( c \) term remains as is:
\[
7c
\]
Putting it all together, the simplified expression is:
\[
2a + 7b + 7c
\]
Answer
wrong
Answered by
GPT-4o mini
Let's go through the simplification step-by-step again.
Starting with the expression:
\[
5a + 3b - 3a + 4b + 7c
\]
1. **Combine the \( a \) terms**:
\[
5a - 3a = 2a
\]
2. **Combine the \( b \) terms**:
\[
3b + 4b = 7b
\]
3. The \( c \) term remains unchanged:
\[
7c
\]
Now, putting it all together gives us:
\[
2a + 7b + 7c
\]
It appears the previous response was indeed correct. The simplified expression is \( 2a + 7b + 7c \). If there is a specific aspect of the problem or expression that you would like to clarify or if there was a misunderstanding, please let me know!
Starting with the expression:
\[
5a + 3b - 3a + 4b + 7c
\]
1. **Combine the \( a \) terms**:
\[
5a - 3a = 2a
\]
2. **Combine the \( b \) terms**:
\[
3b + 4b = 7b
\]
3. The \( c \) term remains unchanged:
\[
7c
\]
Now, putting it all together gives us:
\[
2a + 7b + 7c
\]
It appears the previous response was indeed correct. The simplified expression is \( 2a + 7b + 7c \). If there is a specific aspect of the problem or expression that you would like to clarify or if there was a misunderstanding, please let me know!
Answer
Simplify the Expression: 4.5x - 2 + 3.7x + 6.5
Answered by
GPT-4o mini
To simplify the expression \( 4.5x - 2 + 3.7x + 6.5 \), we will combine like terms.
1. **Combine the \( x \) terms**:
\[
4.5x + 3.7x = (4.5 + 3.7)x = 8.2x
\]
2. **Combine the constant terms**:
\[
-2 + 6.5 = 4.5
\]
Now, putting it all together gives us:
\[
8.2x + 4.5
\]
So, the simplified expression is:
\[
\boxed{8.2x + 4.5}
\]
1. **Combine the \( x \) terms**:
\[
4.5x + 3.7x = (4.5 + 3.7)x = 8.2x
\]
2. **Combine the constant terms**:
\[
-2 + 6.5 = 4.5
\]
Now, putting it all together gives us:
\[
8.2x + 4.5
\]
So, the simplified expression is:
\[
\boxed{8.2x + 4.5}
\]