Explain if an unknown substance found on a meteorite is determined to contain no trace of carbon, can scientists conclude that there is life at the meteorites origin

All life as we know it is carbon-based, so what scientists could determine is that there is no carbon-based life at the origin of the meteorite. However, this does not necessarily mean that there is no life there; our knowledge is only based on our experiences of life on Earth, so it is possible that life has developed in other regions of space upon other elements and formations. For example, there could be life based on silicon or other chemical compositions. 

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