The following system of linear equations

Question:

The following system of linear equations

$7 x+6 y-2 z=0$

$3 x+4 y+2 z=0$

$x-2 y-6 z=0$, has

  1. infinitely many solutions, $(x, y, z)$ satisfying $\mathrm{x}=2 \mathrm{z}$

  2. no solution

  3. only the trivial solution

  4. infinitely many solutions, (x,y, z) satisfying $y=2 z$

Correct Option: 1

Solution:

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