Question
Solve the equation. Check your answer.
32.61equals7gplus3.84
32.61equals7gplus3.84
Answers
GPT-4o mini
To solve the equation \( 32.61 = 7g + 3.84 \), we can follow these steps:
1. **Subtract 3.84 from both sides**:
\[
32.61 - 3.84 = 7g
\]
\[
28.77 = 7g
\]
2. **Divide both sides by 7**:
\[
g = \frac{28.77}{7}
\]
\[
g = 4.11
\]
Now that we have \( g = 4.11 \), let's check the solution by substituting \( g \) back into the original equation.
**Check**:
\[
7g + 3.84 = 32.61
\]
Substituting \( g = 4.11 \):
\[
7(4.11) + 3.84 = 28.77 + 3.84 = 32.61
\]
Since both sides are equal, the solution is verified.
Thus, the final answer is:
\[
g = 4.11
\]
1. **Subtract 3.84 from both sides**:
\[
32.61 - 3.84 = 7g
\]
\[
28.77 = 7g
\]
2. **Divide both sides by 7**:
\[
g = \frac{28.77}{7}
\]
\[
g = 4.11
\]
Now that we have \( g = 4.11 \), let's check the solution by substituting \( g \) back into the original equation.
**Check**:
\[
7g + 3.84 = 32.61
\]
Substituting \( g = 4.11 \):
\[
7(4.11) + 3.84 = 28.77 + 3.84 = 32.61
\]
Since both sides are equal, the solution is verified.
Thus, the final answer is:
\[
g = 4.11
\]