Hi,         

x + y + 3z = 12  y = 2x and z = 3x

x + 2x + 3(3x) = 12

 12x = 12

   x = 1

You are absolutely correct:  x = 1, y = 2  and z = 3

CHECKING the Answer

 1 + 2 + 3*3 = 12 

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