AP EAMCET · Maths · Determinants
If the solution of the system of simultaneous linear equations \(x+y-z=6,3 x+2 y-z=5\) and \(2 x-y-2 z+\) \(3=0\) is \(x=\alpha, y=\beta, z=\gamma\), then \(\alpha+\beta=\)
- A \(-7\)
- B \(2\)
- C \(1\)
- D \(-2\)
Answer & Solution
Correct Answer
(B) \(2\)
Step-by-step Solution
Detailed explanation
System of equations \(x+y-z=6\) \(\Rightarrow 3 x+2 y-z=5 \Rightarrow 2 x-y-2 z=-3\) Augumented matrix \([A: B]=\left[\begin{array}{ccc|c}1 & 1 & -1 & 6 \\ 3 & 2 & -1 & 5 \\ 2 & -1 & -2 & -3\end{array}\right]\) \(R_2 \rightarrow R_2-3 R_1, R_3 \rightarrow R_3-2 R_1\)…
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