Add: $2 x + y + z$ ; $- x + 2 y + 2 z$ and $x - y - z$

2 x + 2 y + 2 z

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3 x + 5 y + z

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3 x - 3 y - z

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None of these

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Solution

The correct option is A $2 x + 2 y + 2 z$
Sum of $(2 x + y + z),$ $(- x + 2 y + 2 z)$ and $(x - y - z)$ is:

$= (2 x + y + z) + (- x + 2 y + 2 z) + (x - y - z)$
$= (2 x - x + x) + (y + 2 y - y) + (z + 2 z - z)$
$= 2 x + 2 y + 2 z$

$= 2 (x + y + z)$

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Similar questions

x + 2 y - z = 7, 2 x - y + z = 2, 3 x - 5 y + 2 z = - 7

Δ_{1} = ∣ ∣ ∣ ∣ \begin{matrix} x - y - z & 2 x & 2 x 2 y & y - z - x & 2 y 2 z & 2 z & z - x - y \end{matrix} ∣ ∣ ∣ ∣

Δ_{2} = ∣ ∣ ∣ ∣ \begin{matrix} x + y + 2 z & x & y z & y + z + 2 x & y z & x & z + x + 2 y \end{matrix} ∣ ∣ ∣ ∣

2 x + 3 y + 3 z = 5

x - 2 y + z = - 4

3 x - y - 2 z = 3

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