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For the system of linear equations: \(\begin{aligned}x_{1}+2x_{2}+x_{3}&=4\\2x_{1}+x_{2}+5x_{3}&=5\end{aligned}\). Which one is not true? |
\(x_{1}=2,x_{2}=1,x_{3}=0\) \(x_{1}=5,x_{2}=0,x_{3}=-1\) \(x_{1}=0,x_{2}=\frac{5}{3},x_{3}=\frac{2}{3}\) \(x_{1}=0,x_{2}=2,x_{3}=1\) |
\(x_{1}=0,x_{2}=2,x_{3}=1\) |
The correct answer is Option (4) → \(x_{1}=0,x_{2}=2,x_{3}=1\) Putting \(x_{1}=0,x_{2}=2,x_{3}=1\) $x_1+2x_2+x_3=0+2(2)+1$ $=5≠4$ ∴ Not, true. |
