Question:
Solve the system:
\[
\begin{pmatrix}
x \\
y
\end{pmatrix}
\quad \Rightarrow \quad
\begin{pmatrix}
2x - 1 \\
9
\end{pmatrix}
\]
Find the values of \(x\) and \(y\).
Solve the system:
\[
\begin{pmatrix}
x \\
y
\end{pmatrix}
\quad \Rightarrow \quad
\begin{pmatrix}
2x - 1 \\
9
\end{pmatrix}
\]
Find the values of \(x\) and \(y\).
Show Hint
When equating two column vectors, match and solve each component separately. Ensure the interpretation of arrows or transformations is consistent with the context.
Updated On: Nov 9, 2025
- \( x = 3, \, y = 9 \)
- \( x = 1, \, y = 9 \)
- \( x = 0, \, y = 9 \)
- \( x = 3, \, y = 4 \)
Show Solution
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The Correct Option is A
Solution and Explanation
To find \( x \) and \( y \), we equate the corresponding components of the two column vectors:
From the first row: \[ x = 2x - 1 \] Simplifying: \[ -x = -1 \quad \Rightarrow \quad x = 1 \]
From the second row: \[ y = 9 \]
Therefore, the values are: \[ \boxed{x = 1, \quad y = 9.} \]
Final Answer:
\( x = 1, \; y = 9 \)
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