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The following system of linear equations $7x + 6y - 2z = 0$, $3x + 4y + 2z = 0$, $x - 2y - 6z = 0$, has
(1) infinitely many solutions, $(x, y, z)$ satisfying $y = 2z$.
(2) no solution.
(3) infinitely many solutions, $(x, y, z)$ satisfying $x = 2z$.
(4) only the trivial solution.
BETA
