Question
4.1 Determine the number that makes the following statement true. \( 53- \) (a certain number \( )=65 \)
Ask by Stuart O'Quinn. in South Africa
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is \(-12\).
Solution
1. Write the equation with \( x \) representing the unknown number:
\[
53 - x = 65
\]
2. Subtract 53 from both sides to isolate the term with \( x \):
\[
53 - x - 53 = 65 - 53 \quad \Longrightarrow \quad -x = 12
\]
3. Multiply both sides by \(-1\) to solve for \( x \):
\[
x = -12
\]
The number that makes the statement true is \(-12\).
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Simplify this solution The Deep Dive
To find the number that makes the equation \( 53 - x = 65 \) true, you can rearrange it. Start by isolating \( x \). Subtracting 53 from both sides gives you \( -x = 65 - 53 \), which simplifies to \( -x = 12 \). Thus, multiplying by -1, we find that \( x = -12 \). So, the number you’re looking for is -12! Now, let’s dive into the world of negative numbers! They can be puzzling at first, but think of them as a way to represent debts or losses. So, in this case, you owe 12 units to reach the balance where the equation holds true. Embracing negatives opens a new dimension in math!
