The solution of $2 x + y + z = 1, x - 2 y - 3 z = 1, 3 x + 2 y + 4 z = 5$ is

1, 2, 3

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1, 2, - 3

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1, - 3, 2

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1, 3, 2

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Solution

The correct option is B $1, 2, - 3$
on solving 1,2;2,3;1,3 $x = \frac{4 - y}{7} = \frac{6 - z}{4}; z = 6 - \frac{16 - 4 y}{7}; 2 \frac{4 - y}{7} + y + \frac{16 - 4 y}{7} = 1 ⟹ y = - 3 ⟹ x = 1, z = 2$

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2 x + y + z = 1, x - 2 y - 3 z = 1, 3 x + 2 y + 4 z = 5

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2 x - y + z = 1, x + 2 y + 3 z = 8, 3 x + y - 4 z = 1

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