Question
Find an ordered pair \( (x, y) \) that is a solution to the equation. \( 2 x-y=9 \) \( (x, y)=(0 . \square) \)
Ask by Henry Bartlett. in the United States
Feb 04,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The ordered pair is \((0, -9)\).
Solution
To find an ordered pair \((x, y)\) that satisfies the equation \(2x - y = 9\) with \(x = 0\), follow these steps:
1. **Substitute \(x = 0\) into the equation:**
\[
2(0) - y = 9
\]
2. **Simplify the equation:**
\[
0 - y = 9 \quad \Rightarrow \quad -y = 9
\]
3. **Solve for \(y\):**
\[
y = -9
\]
Therefore, the ordered pair that satisfies the equation is \((0, -9)\).
**Answer:** \((0,\, -9)\)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To solve for an ordered pair \( (x, y) \) that satisfies the equation \( 2x - y = 9 \), we can start by substituting \( x = 0 \) into the equation. When \( x = 0 \): \[ 2(0) - y = 9 \implies -y = 9 \implies y = -9. \] Thus, the ordered pair is \( (0, -9) \). Now, to double-check: substituting \( (0, -9) \) back into the original equation: \[ 2(0) - (-9) = 0 + 9 = 9. \] It holds true! So, \( (0, -9) \) is indeed a solution.
