Question
Type the integer that makes the following subtraction sentence true: \( \begin{array}{c}-17-\square=-23\end{array} \)
Ask by Chen Burns. in the United States
Jan 30,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The integer that makes the equation true is 6.
Solution
To solve the equation:
\[
-17 - \square = -23
\]
Let's denote the unknown integer as \( x \). The equation becomes:
\[
-17 - x = -23
\]
To find \( x \), follow these steps:
1. **Isolate \( x \):**
\[
-x = -23 + 17
\]
2. **Simplify the right side:**
\[
-x = -6
\]
3. **Multiply both sides by -1 to solve for \( x \):**
\[
x = 6
\]
**Verification:**
\[
-17 - 6 = -23
\]
The equation holds true.
**Answer:**
6
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To find the integer that makes the subtraction sentence true, we can rearrange the equation. The expression can be rewritten as: \[ -17 - x = -23 \] To isolate \(x\), we can add 17 to both sides: \[ -x = -23 + 17 \] Calculating the right side: \[ -x = -6 \] Now, we multiply both sides by -1 to solve for \(x\): \[ x = 6 \] So, the integer that makes the subtraction true is \(6\).
