The sum of $3 x + 4 y - 5 z, 5 y + 2 x, 7 x - 8 y$ and $4 x - 9 y - 5 z$ is

16 x - 8 y - 10 z

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8 x - 16 y - 5 z

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116 x + 8 y + 10 z

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None of these

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Solution

The correct option is A $16 x - 8 y - 10 z$
Adding the given terms:
$(3 x + 4 y - 5 z) + (5 y + 2 x) + (7 x - 8 y) + (4 x - 9 y - 5 z)$ $= x (3 + 2 + 7 + 4) + y (4 + 5 - 8 - 9) + z (- 5 - 5)$
$= 16 x - 8 y - 10 z$
Hence, Option A is correct.

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\begin{matrix} 8 x - 3 y - 5 z = 0 5 x - 8 y + 3 z = 0 3 x + 5 y - 8 z = 0 \end{matrix} ⎫ ⎪ ⎬ ⎪ ⎭

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