Question:medium
If the system of equations
\[
\begin{cases}
2x + y + pz = -1 \\
3x - 2y + z = q \\
5x - 8y + 9z = 5
\end{cases}
\]
has more than one solution, then \( q - p \) is equal to:
If the system of equations
\[
\begin{cases}
2x + y + pz = -1 \\
3x - 2y + z = q \\
5x - 8y + 9z = 5
\end{cases}
\]
has more than one solution, then \( q - p \) is equal to:
Show Hint
For infinitely many solutions, ensure both:
\begin{itemize}
\item determinant of coefficient matrix is zero,
\item constants follow the same linear dependence as the equations.
\end{itemize}
Updated On: Mar 25, 2026
- \(2\)
- \(-2\)
- \(4\)
- \(-4\)
Show Solution
The Correct Option is C
Solution and Explanation
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