The following system of linear equations 7x + 6y – 2z = 0 3x + 4y + 2z = 0 x – 2y

Question

The following system of linear equations
7x + 6y – 2z = 0
3x + 4y + 2z = 0
x – 2y – 6z = 0, has

no solution

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

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

only the trivial solution

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