Question
2. Solve each equation. Show your work. \( \begin{array}{lll}\text { (a) } 3 g=6.3 & \text { (b) } 5 x=12+18\end{array} \)
Ask by Barber Wang. in Germany
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
**(a) \( g = 2.1 \)
**(b) \( x = 6 \)
Solution
**Solution**
**(a) Solve \(3g = 6.3\):**
1. Divide both sides by \(3\) to isolate \(g\):
\[
g = \frac{6.3}{3}
\]
2. Compute the division:
\[
g = 2.1
\]
---
**(b) Solve \(5x = 12 + 18\):**
1. Simplify the right side by adding:
\[
5x = 30
\]
2. Divide both sides by \(5\) to isolate \(x\):
\[
x = \frac{30}{5} = 6
\]
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Beyond the Answer
To solve these equations, let’s break them down step by step! For equation (a): \( 3g = 6.3 \). To isolate \( g \), divide both sides by 3: \( g = \frac{6.3}{3} = 2.1 \). For equation (b): \( 5x = 12 + 18 \). First, calculate the right side: \( 12 + 18 = 30 \). Now, the equation is \( 5x = 30 \). To solve for \( x \), divide both sides by 5: \( x = \frac{30}{5} = 6 \). So, the solutions are: (a) \( g = 2.1 \) (b) \( x = 6 \)