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Consistency of Linear System of Equations

To solve: x...

Question

To solve: $x + 2 y + 3 z = 1; 2 x + 5 y + 6 z = 2; 3 x + 7 y + 8 z = 4$ using reduction method.

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Solution

$\begin{matrix} x + 2 y + 32 = 1 & . . . (i) 2 x + 5 y + 6 z = 2 & . . . (i i) 3 x + 7 y + 8 z = 4 & . . . (i i i) M u l t i p l y e q (i) b y (i i) s u b t r a c t f r o m (i i) y = 0 e q u a t i o n b e c o m e s 2 x + 6 z + 2 \Rightarrow x + 3 z = 2 3 x + 82 = 4 \Rightarrow z = 2 \Rightarrow x = - 5 \end{matrix}$

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Consistency of Linear System of Equations

Standard XII Mathematics

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