If x-y-z- R - x x-y x-y-z 2x 5x-2y 7x-5y-2z 3x 7x-3y 9x-7y-3z -16 then value of x is

The correct option is B 2 = x amp; x+y amp; x+y+z 2x amp; 5x+2y amp; 7x+5y+2z 3x amp; 7x+3y amp; 9x+7y+3z = ...

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Definition of a Determinant

If x,y,z∈ R...

Question

If $x, y, z \in R$ & $△ = ∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + y + z 2 x & 5 x + 2 y & 7 x + 5 y + 2 z 3 x & 7 x + 3 y & 9 x + 7 y + 3 z \end{matrix} ∣ ∣ ∣ ∣ = - 16$ then value of $x$ is

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x, y, z \in R

Δ = ∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + y + z 2 x & 5 x + 2 y & 7 x + 5 y + 2 z 3 x & 7 x + 3 y & 9 x + 7 y + 3 z \end{matrix} ∣ ∣ ∣ ∣ = - 16

x

x, y, z \in R, Δ = ∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + y + z 2 x & 5 x + 2 y & 7 x + 5 y + 2 z 3 x & 7 x + 3 y & 9 x + 7 y + 3 z \end{matrix} ∣ ∣ ∣ ∣ = - 16

x

\frac{x - 2}{4} = \frac{y + 1}{- 1} = \frac{z - 1}{3}

(a) 2 x - y + z = 3

(b) 4 x - y + 3 z = 1

(c) 4 x + y + 3 z = 1

(d) x + 7 y + z = 3

\frac{x - 2}{4} = \frac{y + 1}{- 1} = \frac{z - 1}{3}

∣ ∣ ∣ ∣ \begin{matrix} x & x + y & x + y + z 2 x & 3 x + 2 y & 4 x + 3 y + 2 z 3 x & 6 x = 3 y & 10 x + 6 y + 3 z \end{matrix} ∣ ∣ ∣ ∣ = 64

x

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