Question
What is the second step in solving for n in the equation 5.6(n+1.42)=7.8 ?(1 point) Responses Add 1.42 to both sides. Add 1.42 to both sides. Subtract 1.42 from both sides. Subtract 1.42 from both sides. Subtract 5.6 from both sides. Subtract 5.6 from both sides. Divide both sides by 5.6.
Answers
GPT-4o mini
To solve the equation \( 5.6(n + 1.42) = 7.8 \), the first step would be to distribute \( 5.6 \) to both \( n \) and \( 1.42 \). However, since the question is asking for the second step, let's outline the first and second steps:
1. **First step:** Divide both sides by \( 5.6 \) to isolate \( n + 1.42 \):
\[
n + 1.42 = \frac{7.8}{5.6}
\]
2. **Second step:** Now, to isolate \( n \), you need to **subtract \( 1.42 \) from both sides**:
\[
n = \frac{7.8}{5.6} - 1.42
\]
Therefore, the correct answer is: **Subtract 1.42 from both sides.**
1. **First step:** Divide both sides by \( 5.6 \) to isolate \( n + 1.42 \):
\[
n + 1.42 = \frac{7.8}{5.6}
\]
2. **Second step:** Now, to isolate \( n \), you need to **subtract \( 1.42 \) from both sides**:
\[
n = \frac{7.8}{5.6} - 1.42
\]
Therefore, the correct answer is: **Subtract 1.42 from both sides.**