Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( k = 4 \)
Solution
To solve the equation where \( k \) increased by 5 is 9, follow these steps:
1. **Set Up the Equation:**
\[
k + 5 = 9
\]
2. **Isolate \( k \):**
To find the value of \( k \), subtract 5 from both sides of the equation:
\[
k + 5 - 5 = 9 - 5
\]
Simplifying this gives:
\[
k = 4
\]
3. **Solution:**
\[
k = 4
\]
**Answer:** The value of \( k \) is **4**.
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Simplify this solution Extra Insights
To solve for \( k \), you can set up the equation: \( k + 5 = 9 \). To isolate \( k \), simply subtract 5 from both sides, giving you \( k = 9 - 5 \), which simplifies to \( k = 4 \). Isn’t it satisfying when you find the missing piece in the puzzle? This basic algebraic manipulation is the foundation for more complex concepts in mathematics. For instance, understanding how to isolate variables is crucial in solving equations in physics, where you might need to find time, speed, or distance in real-world scenarios. Just like a detective following the clues, the process of solving equations helps us reveal the unknowns!
