Question
Solve the equation, and check your solution. \( 11.48=k-5.24 \) \( k=\square \) (Type a whole number or a decimal.)
Ask by Powell Lee. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( k = 16.72 \)
Solution
To solve the equation \( 11.48 = k - 5.24 \) for \( k \), follow these steps:
1. **Add 5.24 to both sides of the equation** to isolate \( k \):
\[
11.48 + 5.24 = k - 5.24 + 5.24
\]
2. **Simplify both sides**:
\[
16.72 = k
\]
So, \( k = 16.72 \).
**Solution:**
\[
k = 16.72
\]
**Verification:**
Let's substitute \( k = 16.72 \) back into the original equation to ensure it's correct.
\[
k - 5.24 = 16.72 - 5.24 = 11.48
\]
Since both sides of the equation are equal, the solution is verified.
**Final Answer:**
\( k = 16.72 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve the equation \( 11.48 = k - 5.24 \), you can isolate \( k \) by adding \( 5.24 \) to both sides: \[ k = 11.48 + 5.24 = 16.72 \] Now, let’s check the solution by substituting \( k \) back into the original equation: \[ 11.48 = 16.72 - 5.24 \] Calculating the right side: \[ 16.72 - 5.24 = 11.48 \] Since both sides of the equation are equal, the solution is confirmed. So, \( k = 16.72 \).
