Question
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Tutor-Verified Answer
Answer
a. \( x = 10 \)
b. \( x = 5 \)
Solution
a. Persamaan: \( 2x - 14 = 6 \)
**Langkah-langkah Penyelesaian:**
1. Tambahkan 14 pada kedua sisi persamaan untuk menghilangkan konstanta di sebelah kiri:
\[
2x - 14 + 14 = 6 + 14 \\
2x = 20
\]
2. Bagi kedua sisi dengan 2 untuk menyelesaikan nilai \( x \):
\[
\frac{2x}{2} = \frac{20}{2} \\
x = 10
\]
**Jawaban:** \( x = 10 \)
---
b. Persamaan: \( 5x + 4 = 29 \)
**Langkah-langkah Penyelesaian:**
1. Kurangkan 4 dari kedua sisi persamaan untuk menghilangkan konstanta di sebelah kiri:
\[
5x + 4 - 4 = 29 - 4 \\
5x = 25
\]
2. Bagi kedua sisi dengan 5 untuk menyelesaikan nilai \( x \):
\[
\frac{5x}{5} = \frac{25}{5} \\
x = 5
\]
**Jawaban:** \( x = 5 \)
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Simplify this solution Bonus Knowledge
To solve the first equation \( 2x - 14 = 6 \), start by adding 14 to both sides to isolate \( 2x \): \( 2x = 20 \). Divide by 2 to find \( x = 10 \). For the second equation \( 5x + 4 = 29 \), subtract 4 from both sides to get \( 5x = 25 \). Divide by 5 and you’ll find \( x = 5 \). See? Math can lead to aha moments! When tackling equations, one common mistake is forgetting to perform the same operation on both sides. For example, if you're adding, subtracting, multiplying, or dividing, keep the balance! Always double-check your operations, as misalignment can lead to pesky errors. And hey, if you get stuck, don’t hesitate to backtrack or use a calculator to verify your results!
