Question
\begin{tabular}{l|l}\( \begin{array}{l}\text { Solve the equation using the addition } \\ \text { property. Don't forget to perform a check. } \\ x-7.6=-5.2\end{array} \) & \( x=\square \) (Type a decimal number.) \\ \end{tabular}
Ask by Chadwick Reed. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 2.4 \)
Solution
To solve the equation \( x - 7.6 = -5.2 \) using the **addition property** of equality, follow these steps:
1. **Add 7.6 to both sides** of the equation to isolate \( x \):
\[
x - 7.6 + 7.6 = -5.2 + 7.6
\]
2. **Simplify** both sides:
\[
x = 2.4
\]
3. **Check** the solution by substituting \( x = 2.4 \) back into the original equation:
\[
2.4 - 7.6 = -5.2
\]
\[
-5.2 = -5.2 \quad \text{✓}
\]
So, the solution is:
\[
x = 2.4
\]
**Answer:**
\( x = 2.4 \)
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Simplify this solution Bonus Knowledge
To solve the equation \( x - 7.6 = -5.2 \) using the addition property, you need to isolate \( x \). You can do this by adding \( 7.6 \) to both sides of the equation. So, \( x - 7.6 + 7.6 = -5.2 + 7.6 \). Simplifying this gives \( x = 2.4 \). Next, let's check the solution by substituting \( x \) back into the original equation: \( 2.4 - 7.6 \). This equals \( -5.2 \), which confirms that our solution is correct. Thus, \( x = 2.4 \).
